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anonymous

  • 4 years ago

Should be that last problem of the night: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

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  1. anonymous
    • 4 years ago
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  2. anonymous
    • 4 years ago
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    Its a tough one...

  3. anonymous
    • 4 years ago
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    Think of the problems this way: If you have \[ \int_{a(x)}^{b(x)} f(t) dt\] then, if F is the antiderivative of f, you get \[F(a(x)) - F(b(x)) \] Taking the derivative wrt x, you get \[a'(x)f(a(x)) - b'(x) f(b(x)) \]

  4. Zarkon
    • 4 years ago
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    you have that backwards

  5. anonymous
    • 4 years ago
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    Anyone got an answer?

  6. anonymous
    • 4 years ago
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    Oh, oops. Yeah, flip the a and b, sorry :)

  7. anonymous
    • 4 years ago
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    Could I get the answer on this one? I must be messing something up, so Ill try working it backwards

  8. anonymous
    • 4 years ago
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    The third one.

  9. anonymous
    • 4 years ago
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    Awesome, thanks

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