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Math Help - please help me to solve that questions

  1. #1
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    Lightbulb please help me to solve that questions

    please any body help me
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  2. #2
    Eater of Worlds
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    For #3, I'd try the ratio test. It works well with factorials and powers.

    For #1, can you find the derivative of 3^{sin({\theta})}?.

    Try logarithmic differentiation.

    I'll use x instead of theta for the sake of typing.

    y=3^{sin(x)}

    ln(y)=ln(3^{sin(x)})

    ln(y)=sin(x)ln(3)

    Differentiate:

    \frac{y'}{y}=cos(x)ln(3)

    Remember, y=3^{sin(x)}

    y'=cos(x)3^{sin(x)}ln(3)
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  3. #3
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    You can also use a useful rule.
    y=a^{f(x)} where a>0 and f(x) is some function of "x" then,
    y'=\ln a f'(x) a^{f(x)}
    When used with your problem gives the same result as galactus said.
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