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Math Help - Even More Implicit Differentiation

  1. #1
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    Even More Implicit Differentiation

    y=[sin(x+5)]^1.25

    Find the derivative.
    I got {5/4 sin(x+5)cos(x+5)}^(1/4).
    I don't think that's right.

    Thanks!
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  2. #2
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    Hello, Truthbetold!

    Be careful with the Chain Rule . . .


    Differentiate: . y\:=\:[\sin(x+5)]^{\frac{5}{4}}

    . . \frac{dy}{dx} \;=\;\overbrace{\frac{5}{4}\!\cdot[\sin(x+5)]^{\frac{1}{4}}}^{\text{diff. power}}\cdot\overbrace{\cos(x+5)}^{\text{diff. }\sin}\cdot \overbrace{1}^{\text{diff. }x+5}

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