Question

find the derivative of the following:
a)f(x)=integrate from 0 to x^2 cos(t^2+1)dt
b)f(x)=2^(x^3)cosh4x

Answer 1

the derivative of the integral is the the integrand
plus chain rule

Answer 2

i.e. replace \(t\) by \(x^2\) and then multiply your answer by \(2x\)

Answer 3

do u know know how to do differentiation under integral?

Answer 4

it's done using leibnitz rule
do u have any ideas @jaontiveros3

Answer 5

nope:/

Answer 6

let u have function g(x)=integral a to b f(x) dx
now d/dx[g(x)] will be