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Math Help - Derivatives Help

  1. #1
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    Derivatives Help

    Can someone help me with this please?
    if f(x)=e^3x^2+x
    find f '(2).

    and find the slope of the tangent to the function
    f(x) = 2^x^+3x when x=3
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  2. #2
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    Quote Originally Posted by notoriousmc View Post
    Can someone help me with this please?
    if f(x)=e^3x^2+x
    find f '(2).

    and find the slope of the tangent to the function
    f(x) = 2^x^+3x when x=3
    Hi

    Your thread is not precise enough
    Do you mean f(x) = e^{3x^2}+x
    or f(x) = e^{3x^2+x}
    or f(x) = \left(e^{3x}\right)^2+x
    or anything else ?
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  3. #3
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    I mean that first one that you wrote
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  4. #4
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    OK so f(x) = e^{3x^2}+x

    The derivative of f(x) = e^{u(x)} is f'(x) = u'(x)\:e^{u(x)}

    This should help you
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  5. #5
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    oh im sorry that is not the one that i meant very sorry, it was the second one, sorry sorry
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  6. #6
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    f(x) = e^{3x^2+x}

    The derivative of f(x) = e^{u(x)} is f'(x) = u'(x)\:e^{u(x)}

    Here u(x) = 3x^2+x therefore u'(x) = 6x+1

    Finally f'(x) = (6x+1)\:e^{3x^2+x}
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