Free Printable Trigonometric Derivatives

1.

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

a)

$\sin x$

b)

$\sec x$

c)

$-\sin x$

d)

$-\sec x$

2.

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

a)

$\sec x\tan x$

b)

$\sec^2x$

c)

$-\csc x\cot x$

d)

$-\csc^2x$

3.

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

a)

$\sec x\tan x$

b)

$\sec^2x$

c)

$-\csc x\cot x$

d)

$-\csc^2x$

4.

$\frac{d}{dx}\left(x-3\sin x\right)=$

a)

$1-3\cos x$

b)

$1+3\cos x$

c)

$1-3\sin x$

d)

$1+3\sin x$

5.

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

a)

$\cos x$

b)

$x\sin x+\cos x$

c)

$x\cos x+\sin x$

d)

$x\sin x-\cos x$

6.

$\frac{d}{dx}\left(\sin x+\cos x\right)=$

a)

$\sin x+\cos x$

b)

$\sin x-\cos x$

c)

$-\sin x+\cos x$

d)

$-\sin x-\cos x$

7.

$\frac{d}{dt}\left(4\sec t+\tan t\right)=$

a)

$4\tan t+\sec t$

b)

$4\sec t+\tan t$

c)

$\tan t\left(4\sec t+\tan t\right)$

d)

$\sec t\left(4\tan t+\sec t\right)$

8.

$\frac{d}{d\theta}\left(\theta\csc\theta-\cot\theta\right)=$

a)

$\csc\theta\left(-\theta\cot\theta+1+\csc\theta\right)$

b)

$\csc\theta\left(-\theta\csc\theta+1+\cot\theta\right)$

c)

$\cot\theta\left(-\theta\cot\theta+1+\csc\theta\right)$

d)

$\cot\theta\left(-\theta\csc\theta+1+\cot\theta\right)$

9.

$\frac{d}{dx}\left(\frac{\sin x}{1+\cos x}\right)=$

a)

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

b)

$\frac{-\sin^2x-\cos x+\cos^2x}{\left(1+\cos x\right)^2}$

c)

$\frac{1}{1+\cos x}$

d)

$\frac{-\cos^2x+\cos x+\sin^2x}{\left(1+\cos x\right)^2}$

10.

$\frac{d}{dx}\left(\frac{\tan x-1}{\sec x}\right)=$

a)

$\frac{\sec x}{\tan x}$

b)

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

c)

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

d)

$\frac{1+\tan x}{\sec x}$

11.

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

a)

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

b)

$\frac{x\cos x-2\sin x}{x^3}$

c)

$\frac{2\cos x-x\sin x}{x^3}$

d)

$\frac{x^2\cos x+2\sin x}{x^4}$

Trigonometric Derivatives

Total questions: 11

Worksheet time: 24mins

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