Free Printable Derivative Practice

1.

$\frac{d}{dx}\left(\sec2x\right)$

a)

$2\sec^2\left(2x\right)$

b)

$2\sec\left(2x\right)\tan\left(2x\right)$

c)

$4\sec\left(2x\right)\tan\left(2x\right)$

d)

$2\tan^2\left(2x\right)$

2.

$\frac{d}{dx}\left(-6e^{2x}\right)$

a)

$-6e^{2x}$

b)

$-12e^{2x}$

c)

$-12e^{2x}\ +2$

d)

$-3e^{2x}$

3.

$\frac{d}{dx}\left(\sin\left(4x\right)\right)$

a)

$4\sin\left(4x\right)$

b)

$-4\cos\left(4x\right)$

c)

$-4\sin\left(4x\right)$

d)

$4\cos\left(4x\right)$

4.

$\frac{d}{dx}\left(\frac{\tan x}{x}\right)$

a)

$\frac{x\sec^2x-\tan x}{x^2}$

b)

$\frac{\tan x-x\sec^2x}{x^2}$

c)

$\frac{x\sec^2x+\tan x}{x^2}$

d)

$\frac{\tan x+x\sec^2x}{x^2}$

5.

$\frac{d}{dx}\left(\cot\left(4x\right)\right)$

a)

$\csc^2\left(4x\right)$

b)

$-\csc^2\left(4x\right)$

c)

$-4\csc^2\left(4x\right)$

d)

$-4\csc\left(4x\right)\cot\left(4x\right)$

6.

$\frac{d}{dx}\left(9^x\right)$

a)

$\left(\ln9\right)9^x$

b)

$\frac{9^x}{\ln9}$

c)

$-\frac{9^x}{\ln9}$

d)

$-\left(\ln9\right)9^x$

7.

$\frac{d}{dx}\left(e^x\cos x\right)$

a)

$e^x\left(\cos x+\sin x\right)$

b)

$e^x\left(\cos x-\sin x\right)$

c)

$e^x\left(\sin x-\cos x\right)$

d)

$e^x\tan x$

8.

$\frac{d}{dx}\left(\sqrt{\pi}\right)$

a)

$0$

b)

$\pi$

c)

$\frac{1}{2\sqrt{\pi}}$

d)

$2\sqrt{\pi}$

9.

$\frac{\text{d}}{\text{d}x}\left(xe^x\right)$

a)

$e^x$

b)

$xe^x+e^x$

c)

$xe^x+1$

d)

$e^x+1$

10.

$\frac{\text{d}}{\text{d}x}\left(\frac{x^2}{\sin x}\right)$

a)

$\frac{2x}{\cos x}$

b)

$\frac{x^2\cos x-2x\sin x}{\sin^2x}$

c)

$\frac{2x\sin x+x^2\cos x}{\sin^2x}$

d)

$\frac{2x\sin x-x^2\cos x}{\sin^2x}$

Derivative Practice

Total questions: 10

Worksheet time: 10mins

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