Consider the polynomial function P(x)=5x^ 7 -3x^ 5 +6x^ 3 -8x^ 2 +4x-9

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the polynomial function

P(x)=5x^{7}-3x^{5}+6x^{3}-8x^{2}+4x-9.

(i) Find

P'(x)

. (ii) Calculate

P'(1)

and

P'(2)

. (iii) Hence determine the rate of change of

P(x)

x=1

and

x=2