In this tutorial I show you how to differentiate trigonometric functions using the chain rule by doing the following examples.

\text{Find }\dfrac{dy}{dx} \text{ for the following trigonometric types: }

  1. y = \sin (5x + 1)
  2. y = 3\cos ({x^2} + 5)
  3. y = 2\tan ({3x^4} - \frac{\pi }{2})
  4. y = \dfrac{4}{\mathrm{cosec} (2x - 3)}
How to differentiate Composite Trigonometric Functions : ExamSolutions Maths Revision - youtube Video

In this tutorial I show you how to differentiate trigonometric functions that are raised to a power using the chain rule by doing the following examples.

\text{Find }\dfrac{dy}{dx}\text{ for the following trig types to a given power:}

  1. y = \sin ^3(5x - 2)
  2. y = 2{\cos ^4}({x^2} + 7)
How to differentiate Composite Trig. functions raised to a power (part 1) : ExamSolutions - youtube Video

\text{Find }\dfrac{dy}{dx}\text{ for the following trig types to a given power:}

  1. y = 4{\tan ^5}(3x)
  2. y = \dfrac{5}{{\sec ^3}(7x)}
How to differentiate Composite Trig. functions raised to a power (part 2) : ExamSolutions Maths - youtube Video