# How do you determine dy/dx given #e^cosy=x^3siny#?

The answer

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To determine dy/dx given e^cosy = x^3siny, use implicit differentiation. Then, solve for dy/dx. The derivative of e^cosy with respect to y is -e^cosy*sin(y). The derivative of x^3siny with respect to y is x^3*cos(y). Apply the chain rule when differentiating terms involving x. After finding dy/dx, isolate it to get the final answer.

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