AP Calculus ABhardmcq1 pt

Using the limit definition of the derivative, find g(1)g'(1) for g(x)=x2+3xg(x)=x^2+3x.

A.44
B.22
C.55
D.33

Explanation

Core Concept

Expand g(1+h)=(1+h)2+3(1+h)=4+5h+h2g(1+h)=(1+h)^2+3(1+h)=4+5h+h^2, so the difference quotient is 5+h5+h. The limit as h0h\to 0 is 55.

Correct Answer

C55

More Unit 2: Differentiation: Definition and Basic Derivative Rules practice questions

Try a random question →

Practice more AP Calculus AB questions with full explanations

Practice Unit 2: Differentiation: Definition and Basic Derivative Rules Questions →