For the function

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

Problem

For the function

f(x)=x^{3}+k x

, determine the value of

k

if the tangent to the curve at

x=1

is horizontal. (a)

0

(b)

-3

(c)

3

(d)

-1

Related theory

Interpreting Derivatives
Differentiation Rules
Maxima and minima

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