Home page for accesible maths Math 101 Chapter 3: Differentiation

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3.13 Derivative of the tangent function

Example

To find the derivative of tan⁡a⁢x\tan ax when cos⁡a⁢x≠0\cos ax\neq 0.

Solution. We start with the quotient

tan⁡a⁢x=sin⁡a⁢xcos⁡a⁢x.\tan ax={{\sin ax}\over{\cos ax}}.