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jaontiveros3 Group Title

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

  • 2 months ago
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  1. satellite73 Group Title
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    the derivative of the integral is the the integrand plus chain rule

    • 2 months ago
  2. satellite73 Group Title
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    i.e. replace \(t\) by \(x^2\) and then multiply your answer by \(2x\)

    • 2 months ago
  3. sidsiddhartha Group Title
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    do u know know how to do differentiation under integral?

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

    • 2 months ago
  5. jaontiveros3 Group Title
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    nope:/

    • 2 months ago
  6. sidsiddhartha Group Title
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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|

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  7. sidsiddhartha Group Title
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    u getting this?

    • 2 months ago
  8. sidsiddhartha Group Title
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    |dw:1399267613240:dw| sorry signs will be opposite

    • 2 months ago
  9. sidsiddhartha Group Title
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    |dw:1399268104904:dw|

    • 2 months ago
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