Suppose that and y are both differentiable functions of t and are related by the equation y + x5 =x. Differentiate both sides of the equation with respect to t. Choose the correct answer below. 6y5 dy dt O dy dt dr dt +5x4. +524 =1 O 5 4 dy dx Po(d)² + 5 (d) - d 6 = dt dt dt O 6y5 + 5x¹ = 1 dy dt dx dt dx +52 = 1 dt dy 6y5 +524 =1 dx

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A: formulas we use: ddxf+g=dfdx+dgdxddxkx=k; k is a constant.dkdx=0; k is constant.ddx(x)=1.

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A: Hey, since there are two questions posted, we will answer the first question. If you want any…

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A: Explanation and solutions is given below....

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