Logarithms and Exponential Derivative

Logarithms and Exponential Derivative

11th - 12th Grade

7 Qs

quiz-placeholder

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Logarithms and Exponential Derivative

Logarithms and Exponential Derivative

Assessment

Quiz

Mathematics

11th - 12th Grade

Medium

Created by

Adam Hosler

Used 11+ times

FREE Resource

7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of the function with respect to x:

 y=ex35x+1y=e^{x^3-5x+1}  

 dydx=ex35x+1(3x25)\frac{dy}{dx}=e^{x^3-5x+1}\left(3x^2-5\right)  

 dydx=3x2ex35x+1\frac{dy}{dx}=3x^2e^{x^3-5x+1}  

 dydx=ex35x+1(x35x+1)\frac{dy}{dx}=e^{x^3-5x+1}\left(x^3-5x+1\right)  

 dydx=3x25\frac{dy}{dx}=3x^2-5  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of the function with respect to x:

 y=ln(5x4)y=\ln\left(5x^4\right)  

 dydx=4x\frac{dy}{dx}=\frac{4}{x}  

 dydx=20x3\frac{dy}{dx}=20x^3  

 dydx=15x4\frac{dy}{dx}=\frac{1}{5x^4}  

 dydx=20x3\frac{dy}{dx}=20x^3  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of the function with respect to x:

 y=ln(sinx)y=\ln\left(\sin x\right)  

 dydx=1sinx\frac{dy}{dx}=\frac{1}{\sin x}  

 dydx=cotx\frac{dy}{dx}=\cot x  

 dydx=tanx\frac{dy}{dx}=\tan x  

 dydx=1cosx\frac{dy}{dx}=\frac{1}{\cos x}  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of the function with respect to x:

 y=log4xy=\log_4x  

 dydx=xln4\frac{dy}{dx}=\frac{x}{\ln4}  

 dydx=xln4\frac{dy}{dx}=x\ln4  

 dydx=ln4x\frac{dy}{dx}=\frac{\ln4}{x}  

 dydx=1xln4\frac{dy}{dx}=\frac{1}{x\ln4}  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of the function with respect to x:

 y=log(3x2)y=\log\left(3x^2\right)  

 dydx=6xln10\frac{dy}{dx}=\frac{6x}{\ln10}  

 dydx=6xln10\frac{dy}{dx}=6x\ln10  

 dydx=ln106x\frac{dy}{dx}=\frac{\ln10}{6x}  

 dydx=16xln10\frac{dy}{dx}=\frac{1}{6x\ln10}  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of the function with respect to x:

 y=3xy=3^x  

 dydx=3xln3\frac{dy}{dx}=3^x\ln3  

 dydx=3xln3\frac{dy}{dx}=3^{x\ln3}  

 dydx=3xln3\frac{dy}{dx}=\frac{3^x}{\ln3}  

 dydx=ln3x\frac{dy}{dx}=\ln3^x  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of the function with respect to x:

 y=9x28y=9^{x^2-8}  

 dydx=9x28\frac{dy}{dx}=9^{x^2-8}  

 dydx=9x28×ln9\frac{dy}{dx}=9^{x^2-8}\times\ln9  

 dydx=9x28×2x\frac{dy}{dx}=9^{x^2-8}\times2x  

 dydx=9x28×ln9×2x\frac{dy}{dx}=9^{x^2-8}\times\ln9\times2x