## EXERCISE 12.2 5

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

Problem

## EXERCISE 12.2 5. For the function

f(x)=\frac{x^{100}}{100}+\frac{x^{99}}{99}+\ldots+\frac{x^{2}}{2}+x+1

Prove that

f^{\prime}(1)=100 f^{\prime}(0)