anonymous
  • anonymous
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
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
the derivative of the integral is the the integrand plus chain rule
anonymous
  • anonymous
i.e. replace \(t\) by \(x^2\) and then multiply your answer by \(2x\)
sidsiddhartha
  • sidsiddhartha
do u know know how to do differentiation under integral?

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sidsiddhartha
  • sidsiddhartha
it's done using leibnitz rule do u have any ideas @jaontiveros3
anonymous
  • anonymous
nope:/
sidsiddhartha
  • sidsiddhartha
let u have function g(x)=integral a to b f(x) dx now d/dx[g(x)] will be |dw:1399267453017:dw|
sidsiddhartha
  • sidsiddhartha
u getting this?
sidsiddhartha
  • sidsiddhartha
|dw:1399267613240:dw| sorry signs will be opposite
sidsiddhartha
  • sidsiddhartha
|dw:1399268104904:dw|

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