jaontiveros3
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



This Question is Open

anonymous
Best Response
You've already chosen the best response.
0
the derivative of the integral is the the integrand
plus chain rule

anonymous
Best Response
You've already chosen the best response.
0
i.e. replace \(t\) by \(x^2\) and then multiply your answer by \(2x\)

sidsiddhartha
Best Response
You've already chosen the best response.
0
do u know know how to do differentiation under integral?

sidsiddhartha
Best Response
You've already chosen the best response.
0
it's done using leibnitz rule
do u have any ideas @jaontiveros3

jaontiveros3
Best Response
You've already chosen the best response.
0
nope:/

sidsiddhartha
Best Response
You've already chosen the best response.
0
let u have function g(x)=integral a to b f(x) dx
now d/dx[g(x)] will be dw:1399267453017:dw

sidsiddhartha
Best Response
You've already chosen the best response.
0
u getting this?

sidsiddhartha
Best Response
You've already chosen the best response.
0
dw:1399267613240:dw sorry signs will be opposite

sidsiddhartha
Best Response
You've already chosen the best response.
0
dw:1399268104904:dw