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Thread: derivative help

  1. November 16th 2009, 11:28 PM #1
    amma0913
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    derivative help

    how do I use the chain rule to find the derivative of 2^(x^2)?

    help!
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  2. November 17th 2009, 12:38 AM #2
    earboth
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    Quote Originally Posted by amma0913 View Post
    how do I use the chain rule to find the derivative of 2^(x^2)?

    help!
    1. Re-write your function:

    f(x)=2^{x^2} = e^{x^2 \cdot \ln(2)}

    2. Now differentiate the exponential function.

    f'(x)= e^{x^2 \cdot \ln(2)} \cdot 2x \cdot \ln(2)

    3. Simplify.
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