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jaontiveros3

  • 2 years ago

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

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  1. anonymous
    • 2 years ago
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    the derivative of the integral is the the integrand plus chain rule

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

  3. sidsiddhartha
    • 2 years ago
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    do u know know how to do differentiation under integral?

  4. sidsiddhartha
    • 2 years ago
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    it's done using leibnitz rule do u have any ideas @jaontiveros3

  5. jaontiveros3
    • 2 years ago
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    nope:/

  6. sidsiddhartha
    • 2 years ago
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    let u have function g(x)=integral a to b f(x) dx now d/dx[g(x)] will be |dw:1399267453017:dw|

  7. sidsiddhartha
    • 2 years ago
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    u getting this?

  8. sidsiddhartha
    • 2 years ago
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    |dw:1399267613240:dw| sorry signs will be opposite

  9. sidsiddhartha
    • 2 years ago
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    |dw:1399268104904:dw|

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