(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find dy/dx:

[itex](3x^2+5x-2)^{sinx}[/itex]

3. The attempt at a solution

[itex]y = (3x^2+5x-2)^{sinx}[/itex]

[itex]ln y = ln [(3x^2+5x-2)^{sinx}][/itex]

[itex]ln y = sinx [ln(3x^2+5x-2)][/itex]

[itex]\frac{1}{y} \frac{dy}{dx} = cosx[ln(3x^2+5x-2)] + sinx[\frac{6x+5}{3x^2+5x-2}][/itex]

[itex]\frac{dy}{dx} = [3x^2+5x-2]^{sinx} [ cosx[ln(3x^2+5x-2)] + sinx[\frac{6x+5}{3x^2+5x-2}] ][/itex]

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# Homework Help: Can someone go over my work for this derivative?

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