AP

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Evaluate

\displaystyle \lim_{h \to 0}\dfrac{\cos(x+h)-\cos x}{h}

. (a)

\sin x

(b)

-\sin x

(c)

\cos x

(d)

0

Related theory

Differentiation Rules
Derivative Foundations
Differentiation from first principles
Intuitive idea of derivatives
Limits and Derivatives

Browse the problem library