Edexcel A Level Maths: Pure:复习笔记7.3.6 Differentiating Reciprocal and Inverse Trig Functions
Differentiating Reciprocal and Inverse Trig Functions
How do I differentiate the reciprocal trigonometric functions?
- The formulae for the derivatives of the reciprocal trigonometric functions are:
- You can derive the derivatives for?sec,?cosec, and?cot?using the?chain rule?and the derivatives of the basic trigonometric functions
How do I differentiate the inverse trigonometric functions?
- The formulae for the derivatives of the inverse trigonometric functions are:
- You can derive the derivatives of arcsin, arccos, and arctan using the reciprocal form of the chain rule and the derivatives of the basic trigonometric functions
Exam Tip
- The formulae for the derivatives of?sec?x,?cosec?x, and?cot?x?are in the? formulae booklet – you don't need to memorise them
- However, you should know how to derive the derivatives of?sec,?cosec, and?cot?using the chain rule
- The formulae for the derivatives of?arcsin,?arccos, and?arctan?are not in the formulae booklet
- You should know how to derive those derivatives using the reciprocal form of the chain rule
Worked Example
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