Consider the quadratic function

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

Problem

h(x)=k x^{2}-4x+1

, where

k

is a real constant. For which value of

k

does

h

have a critical point at

x=2

? (a)

k=\dfrac12

(b)

k=\dfrac74

(c)

k=1

(d)

k=2

Related theory

Differentiation Rules
Rules of differentiation
Intuitive idea of derivatives
Limits and Derivatives

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