The line is a tangent to the curve at the point

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The line

y = 16x - 9

is a tangent to the curve

y = 2x^3 + ax^2 + bx - 9

at the point

(1,7)

. Find the values of

a

and

b

Related theory

Theorems
Differentiation Rules
Derivatives of standard functions via chain rule
Differentiability of functions
Continuity and Differentiability

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