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SQA Higher Maths Differentiation of trigonometric functions

Differentiation of trigonometric functions

This page covers the following topics:

1. Differentiating trigonometric functions

Equations involving trigonometric functions can be differentiated using the basic rules of differentiation by using the following results: d(sinx)/dx = cosx, d(cosx)/dx = βˆ’sinx and d(tanx)/dx = secΒ²x.

Differentiating trigonometric functions

1

Find a function for the slope for the given graph.

Find a function for the slope for the given graph.

2

Find the derivative of y = 8tanΒ³x.

Find the derivative of y = 8tanΒ³x.

3

Find the derivative of the following function: f(x) = 5x/(1 + xΒ²) βˆ’ cosx.

Find the derivative of the following function: f(x) = 5x/(1 + xΒ²) βˆ’ cosx.

4

Find the derivative of y = tanx + 8x.

Find the derivative of y = tanx + 8x.

5

Differentiate y = sin⁴x.

Differentiate y = sin⁴x.

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