Derivatives Of Trig Functions

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1. Differentiate cos x with respect to x.

Explanation

The derivative of cos x is -sin x because the derivative of cos x is -sin x while the derivative of sin x is cos x. The derivatives of tan x and 1 are not equivalent to the derivative of cos x.

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Derivatives Of Trig Functions - Quiz

Use these to help learn your trig function derivatives...... see more see less

2. Find the derivative of tan(x).

Explanation

The derivative of tan(x) is sec^2(x) because the derivative of tan(x) is sec^2(x) according to the trigonometric rule for derivatives.

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3. What is the derivative of sec x?

Explanation

The derivative of sec x is sec x tan x. This can be derived using the chain rule in calculus.

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4. Find the derivative of cot(x).

Explanation

The derivative of cot(x) is equal to -csc^2(x) by using the chain rule and the derivative of cot(x) = -csc^2(x). This can be derived from the definition of cotangent and cosecant functions.

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5. Find the derivative of csc x.

Explanation

The derivative of csc x is -csc x cot x. This can be derived using the chain rule and the derivative of the cosecant function.

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Differentiate cos x with respect to x.
Find the derivative of tan(x).
What is the derivative of sec x?
Find the derivative of cot(x).
Find the derivative of csc x.
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