Let . Answer the…

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

Problem

Let

f(x)=x+\tan x

. Answer the following: (i) Find

f'(x)

. (ii) Hence determine

f'(0)

. (iii) Interpret the value obtained in part (ii) as the instantaneous rate of change of

f(x)

at the origin.

Related theory

Interpreting Derivatives
Differentiation Rules
Rules of differentiation
Derivatives
Limits and Derivatives

Browse the problem library