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Not all equations can be written like y = f(x), so taking the derivative can be tricky. Save the mess and do it directly with implicit differentiation.

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What is the slope of the tangent line of the curve \( x^2 = y^2 \) at the point \( (15, -15)?\)

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If \(y^{4}=17x,\) what is \(\displaystyle \frac{dy}{dx}?\)

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If \(y^3-4y^2=x^5+3x^4,\) what is \(\displaystyle \frac{dy}{dx}?\)

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