Consider . For which value of is the tangent line to the graph of horizontal at…

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

Problem

Consider

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

. For which value of

k

is the tangent line to the graph of

h

horizontal at

x=1

? (a)

2

(b)

-\dfrac12

(c)

\dfrac12

(d)

0

Related theory

Differentiation Rules
Rules of differentiation
Derivatives
Limits and Derivatives

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