Derivatives - Implicit: Problem 1 (1 point) Calculate the derivative of $y$ with respect to $x$, if $x^{1/2} + y^{-5/2} = 6$. $\frac{dy}{dx} = $
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Step 1
The left side of the equation is 1/2 + y^(5/2). To differentiate this, we need to use the chain rule. The derivative of 1/2 with respect to x is 0, and the derivative of y^(5/2) with respect to x is (5/2)y^(3/2) * dy/dx. The right side of the equation is 6. The Show more…
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