What is the derivative of y = e 2 x + 3 y=e^{2x+3} y = e 2 x + 3

d y d x = 2 e 2 x + 3 \frac{dy}{dx}=2e^{2x+3} d x d y = 2 e 2 x + 3

d y d x = e 2 x + 3 \frac{dy}{dx}=e^{2x+3} d x d y = e 2 x + 3

d y d x = 2 x e 2 x + 3 \frac{dy}{dx}=2xe^{2x+3} d x d y = 2 x e 2 x + 3

d y d x = 3 e 2 x + 3 \frac{dy}{dx}=3e^{2x+3} d x d y = 3 e 2 x + 3

What is the derivative of y = 3 e 2 − 3 x y=3e^{2-3x} y = 3 e 2 − 3 x

d y d x = − 9 e 2 − 3 x \frac{dy}{dx}=-9e^{2-3x} d x d y = − 9 e 2 − 3 x

d y d x = 3 e 2 − 3 x \frac{dy}{dx}=3e^{2-3x} d x d y = 3 e 2 − 3 x

d y d x = 9 e 2 − 3 x \frac{dy}{dx}=9e^{2-3x} d x d y = 9 e 2 − 3 x

What is the derivative of y = 2 e x + 3 y=2e^{\sqrt{x+3}} y = 2 e x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

d y d x = e x + 3 x + 3 \frac{dy}{dx}=\frac{e^{\sqrt{x+3}}}{\sqrt{x+3}} d x d y = x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> e x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

d y d x = 2 e x + 3 x + 3 \frac{dy}{dx}=\frac{2e^{\sqrt{x+3}}}{\sqrt{x+3}} d x d y = x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2 e x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

d y d x = 2 e x + 3 \frac{dy}{dx}=2e^{\sqrt{x+3}} d x d y = 2 e x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

d y d x = e x + 3 \frac{dy}{dx}=e^{\sqrt{x+3}} d x d y = e x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

What is the derivative of y = e 3 x + 1 2 e 2 x y=e^{3x}+\frac{1}{2e^{2x}} y = e 3 x + 2 e 2 x 1

d y d x = 3 e 3 x − 1 e 2 x \frac{dy}{dx}=3e^{3x}-\frac{1}{e^{2x}} d x d y = 3 e 3 x − e 2 x 1

d y d x = 3 e 3 x − 1 2 e 2 x \frac{dy}{dx}=3e^{3x}-\frac{1}{2e^{2x}} d x d y = 3 e 3 x − 2 e 2 x 1

d y d x = e 3 x − 1 e 2 x \frac{dy}{dx}=e^{3x}-\frac{1}{e^{2x}} d x d y = e 3 x − e 2 x 1

d y d x = e 3 x − 1 2 e 2 x \frac{dy}{dx}=e^{3x}-\frac{1}{2e^{2x}} d x d y = e 3 x − 2 e 2 x 1

What is the derivative of y = x e x y=xe^x y = x e x

d y d x = e x + x e x \frac{dy}{dx}=e^x+xe^x d x d y = e x + x e x

d y d x = e x − x e x \frac{dy}{dx}=e^x-xe^x d x d y = e x − x e x

d y d x = x e x \frac{dy}{dx}=xe^x d x d y = x e x

d y d x = e x \frac{dy}{dx}=e^x d x d y = e x

What is the derivative of y = e 4 x − 2 3 x y=e^{4x}-2^{3x} y = e 4 x − 2 3 x

d y d x = 4 e 4 x − 2 3 x ( 3 ln ⁡ 2 ) \frac{dy}{dx}=4e^{4x}-2^{3x}\left(3\ln2\right) d x d y = 4 e 4 x − 2 3 x ( 3 ln 2 )

d y d x = 4 e 4 x − 6 3 x \frac{dy}{dx}=4e^{4x}-6^{3x} d x d y = 4 e 4 x − 6 3 x

d y d x = 4 e 4 x − 2 3 x ( 3 ) \frac{dy}{dx}=4e^{4x}-2^{3x}\left(3\right) d x d y = 4 e 4 x − 2 3 x ( 3 )

d y d x = e 4 x − 2 3 x \frac{dy}{dx}=e^{4x}-2^{3x} d x d y = e 4 x − 2 3 x

Differentiate exponent

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Mathematics

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University

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Practice Problem

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Medium

HALIMATUL BM

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10 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of
$y=e^{2x+3}$

$\frac{dy}{dx}=e^{2x+3}$

$\frac{dy}{dx}=2e^{2x+3}$

$\frac{dy}{dx}=2xe^{2x+3}$

$\frac{dy}{dx}=3e^{2x+3}$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of
$y=3e^{2-3x}$

$\frac{dy}{dx}=3e^{2-3x}$

$\frac{dy}{dx}=-9e^{2-3x}$

$\frac{dy}{dx}=9e^{2-3x}$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of
$y=2e^{\sqrt{x+3}}$

$\frac{dy}{dx}=\frac{e^{\sqrt{x+3}}}{\sqrt{x+3}}$

$\frac{dy}{dx}=\frac{2e^{\sqrt{x+3}}}{\sqrt{x+3}}$

$\frac{dy}{dx}=2e^{\sqrt{x+3}}$

$\frac{dy}{dx}=e^{\sqrt{x+3}}$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of
$y=5e^{4x-x^2}$

$\frac{dy}{dx}=5e^{4x-x^2}$

$\frac{dy}{dx}=5\left(2-x\right)e^{4x-x^2}$

$\frac{dy}{dx}=10\left(2-x\right)e^{4x-x^2}$

$\frac{dy}{dx}=\left(4-2x\right)e^{4x-x^2}$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of
$y=e^{3x}+\frac{1}{2e^{2x}}$

$\frac{dy}{dx}=3e^{3x}-\frac{1}{2e^{2x}}$

$\frac{dy}{dx}=3e^{3x}-\frac{1}{e^{2x}}$

$\frac{dy}{dx}=e^{3x}-\frac{1}{e^{2x}}$

$\frac{dy}{dx}=e^{3x}-\frac{1}{2e^{2x}}$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of
$y=e^{\sqrt{x^2+1}}$

$\frac{dy}{dx}=\frac{e^{\sqrt{x^2+1}}}{\sqrt{x^2+1}}$

$\frac{dy}{dx}=\frac{2e^{\sqrt{x^2+1}}}{\sqrt{x^2+1}}$

$\frac{dy}{dx}=\frac{2xe^{\sqrt{x^2+1}}}{\sqrt{x^2+1}}$

$\frac{dy}{dx}=\frac{xe^{\sqrt{x^2+1}}}{\sqrt{x^2+1}}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the derivative of
$y=xe^x$

$\frac{dy}{dx}=e^x+xe^x$

$\frac{dy}{dx}=e^x-xe^x$

$\frac{dy}{dx}=xe^x$

$\frac{dy}{dx}=e^x$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the derivative of
$y=\frac{e^x}{x}$

$\frac{dy}{dx}=\frac{xe^x+e^x}{x}$

$\frac{dy}{dx}=\frac{e^x-xe^x}{x^2}$

$\frac{dy}{dx}=\frac{xe^x-e^x}{x^2}$

$\frac{dy}{dx}=\frac{xe^x-e^x}{x}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the derivative of
$y=\left(e^x+e^{-x}\right)^2$

$\frac{dy}{dx}=e^x+e^{-x}$

$\frac{dy}{dx}=e^{2x}+e^{-2x}$

$\frac{dy}{dx}=2e^{2x}-2e^{-2x}$

$\frac{dy}{dx}=2e^{2x}+2e^{-2x}$

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of
$y=e^{4x}-2^{3x}$

$\frac{dy}{dx}=4e^{4x}-6^{3x}$

$\frac{dy}{dx}=4e^{4x}-2^{3x}\left(3\ln2\right)$

$\frac{dy}{dx}=4e^{4x}-2^{3x}\left(3\right)$

$\frac{dy}{dx}=e^{4x}-2^{3x}$

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Differentiate exponent

10 questions

What is the derivative of y=e2x+3y=e^{2x+3}y=e2x+3

What is the derivative of y=3e2−3xy=3e^{2-3x}y=3e2−3x

What is the derivative of y=2ex+3y=2e^{\sqrt{x+3}}y=2ex+3​

What is the derivative of y=5e4x−x2y=5e^{4x-x^2}y=5e4x−x2

What is the derivative of y=e3x+12e2xy=e^{3x}+\frac{1}{2e^{2x}}y=e3x+2e2x1​

What is the derivative of y=ex2+1y=e^{\sqrt{x^2+1}}y=ex2+1​

What is the derivative of y=xexy=xe^xy=xex

What is the derivative of y=exxy=\frac{e^x}{x}y=xex​

What is the derivative of y=(ex+e−x)2y=\left(e^x+e^{-x}\right)^2y=(ex+e−x)2

What is the derivative of y=e4x−23xy=e^{4x}-2^{3x}y=e4x−23x

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