Find d p d q i f p = 1 q + 9 \frac{dp}{dq}\ if\ p=\frac{1}{\sqrt{q+9}} d q d p i f p = q + 9 <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"> 1

− 1 2 ( q + 9 ) 3 2 -\frac{1}{2\left(q+9\right)^{\frac{3}{2}}} − 2 ( q + 9 ) 2 3 1

1 2 ( q + 9 ) 3 2 \frac{1}{2\left(q+9\right)^{\frac{3}{2}}} 2 ( q + 9 ) 2 3 1

− 1 ( q + 9 ) 3 2 -\frac{1}{\left(q+9\right)^{\frac{3}{2}}} − ( q + 9 ) 2 3 1

− 1 q + 9 -\frac{1}{\sqrt{q+9}} − q + 9 <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"> 1

Evaluate d d x [ 2 x ] \frac{\text{d}}{\text{d}x}\left[2^x\right] d x d [ 2 x ]

( ln ⁡ 2 ) 2 x \left(\ln2\right)2^x ( ln 2 ) 2 x

( ln ⁡ 2 ) e x \left(\ln2\right)e^x ( ln 2 ) e x

Evaluate d d x [ log ⁡ 2 x ] \frac{\text{d}}{\text{d}x}\left[\log_2x\right] d x d [ lo g 2 x ]

1 ( ln ⁡ 2 ) x \frac{1}{\left(\ln2\right)x} ( ln 2 ) x 1

1 log ⁡ 2 x \frac{1}{\log_2x} lo g 2 x 1

Derivatives (Power, Exp., Log) w/o Chain Rule

Authored by Jill Nitkinas

Mathematics

11th Grade

CCSS covered

Used 1+ times

Derivatives (Power, Exp., Log) w/o Chain Rule

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25 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

cosx

-cosx

-sinx cosx

sinx cosx

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

sinx

-sinx

-cscx cotx

sec²x

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

cscx cotx

secx tanx

sec²x

-cscx cotx

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

secx tanx

sec²x

cscx cotx

-cscx cotx

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

secx tanx

-secx tanx

tan²x

cscx cotx

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

-cscx cotx

cscx cotx

-csc²x

csc²x

Tags

CCSS.HSF.TF.C.9

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the derivative:
f(x) = -2cosx

-2sinx

-cos²x

2sinx

2cosxsinx

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Derivatives (Power, Exp., Log) w/o Chain Rule

Find the derivative:f(x) = -2cosx

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Find the derivative:
f(x) = -2cosx