A curve is given by

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

A curve is given by

y=x^{2}\tan x\;(x>0)

. (i) Find

\dfrac{dy}{dx}

. (ii) Calculate the slope of the tangent to the curve at

x=\dfrac{\pi}{4}

. (iii) Hence obtain the equation of the tangent line at the point where

x=\dfrac{\pi}{4}

Related theory

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

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