Consider the curve with equation

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

Problem

f(x) = px^2 + qx

, where

p

and

q

are constants. The point

A(1, 3)

lies on the curve. The tangent to the curve at

A

has gradient 8. Find the value of

p

and of

q

Related theory

Pair of Linear Equations
Differentiation Rules
Rules of differentiation
Derivatives
Limits and Derivatives

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