Fundamental Theorem

Question

x

Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x)= ∫t^8 dt

4

f'(x)=

f'(-6)=

Answer 1

(1/9)x^9 - (1/9)(4^9) =

(1/9)x^9 - 262144/9 = f(x)

f'(x) = x^8

f'(6) = 6^8