Given , simplify the difference quotient so that no powers of remain in the…

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

Problem

Given

p(t)=3t^{3}-5t^{2}+2

, simplify the difference quotient

\dfrac{p(a+h)-p(a)}{h}

so that no powers of

h

remain in the numerator, where

h\ne 0