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Math Help - Need help Finding the Derivative of the following

  1. #1
    Junior Member surffan's Avatar
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    Need help Finding the Derivative of the following

    This is what I got so far

    a) f(x) = sqrt(x)(2x+3)^2
    f'(x)= (1/2x^-1/2)(1)(2x+3)^2 + (x^1/2)(2)(2x+3)(2)
    not sure how to simplify it more

    b)h(x) = 3e^(sin(x+2))
    = (3)(e^(sin(x+2))(cos(x+2))
    I have a feeling that the exponent of e is suppose to be different, maybe I missed a step with the (x+2)
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  2. #2
    Senior Member
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    Your solutions are correct.
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