Define for .

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Define

h(x)=\dfrac{x^{2}+1}{\csc x}

for

0<x<\pi

. (a) Determine

h'(x)

. (b) Evaluate

h'\!\left(\dfrac{\pi}{4}\right)

and express your answer in exact form.

Related theory

Differentiation Rules
Derivatives of standard functions via chain rule
Derivatives of composite functions
Continuity and Differentiability

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