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Math Help - Difficulty with derivative

  1. #1
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    Difficulty with derivative

    4. Find derivatives of the functions (do not simplify the answer).

    b) f(x) = e^x^2 (x^2+1) + x^4 ( 2^x+1)

    I'm having trouble with this, mainly the last term with x as the exponent. Please help.
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by thekrown View Post
    4. Find derivatives of the functions (do not simplify the answer).

    b) f(x) = e^x^2 (x^2+1) + x^4 ( 2^x+1)

    I'm having trouble with this, mainly the last term with x as the exponent. Please help.

    Remember that

    \frac{d}{dx}2^x=\ln(2)\cdot 2^x

    P.S I can ever remember that so I remember this identity instead

    a^x=e^{\ln(a^x)}=e^{x\ln(a)}

    and I do remember how to take the derivative of e.

    So the last term will have derivative

    4x^3(2^x+1)+x^4(\ln(2)\cdot 2^x)
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  3. #3
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    Where can I find more of these identities? It seems my skills with finding derivatives is strong, but my knowledge of identities is weak.
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