The line passing through the points and has the same slope as the curve at

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

Problem

The line passing through the points

(0,2)

and

(4,10)

has the same slope as the curve

y=x^{2}

x=k

. Find

k

. (a)

2

(b)

1

(c)

-1

(d)

0

Related theory

Straight Lines
Differentiation Rules
Rules of differentiation
Derivatives
Limits and Derivatives

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