For , the derivative of a function is linear with and . Determine the constant value…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

For

1\le x\le4

, the derivative of a function is linear with

f'(1)=3

and

f'(4)=-3

. Determine the constant value of

f''

on the open interval

(1,4)

Related theory

Higher-Order Derivatives
Advanced Differentiation
Second order derivatives
Continuity and Differentiability

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