#need help with calculus.

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rancid glade
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The task is to find the derivative of y`x, please help

floral flareBOT
jade holly
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Use implicit differentiation,

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First take the derivative of the left side with respect to x,

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x^6 --> 6x^5,

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y^3 --> 3y^2 * (dy/dx),

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Do the same for the other side,

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e^(-3y) --> -3(dy/dx)e^(-3y),

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So solve for dy/dx,