The function is given.

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

Problem

The function f(x)=x3+2x2−cos⁡x+sin⁡xf(x)=x^{3}+2x^{2}-\cos x+\sin x is given. (i) Find f′(x)f'(x). (ii) Show that f′(x)f'(x) can be written as x(3x+4)+(sin⁡x+cos⁡x)x(3x+4)+\bigl(\sin x+\cos x\bigr).

Related theory

Browse the problem library