Consider the polynomial function .

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Consider the polynomial function

P(x)=5x^{4}-3x^{2}+7x-9

. (i) Obtain

P'(x)

. (ii) Calculate

P'(2)

. (iii) Determine the equation of the tangent to the curve

y=P(x)

at the point where

x=2

Related theory

Straight Lines
Differentiation Rules
Rules of differentiation
Limits of trigonometric functions
Limits and Derivatives

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