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Suppose x is a differentiable function of t and =6 2+5y=6x2+5. Find dt /dy​.

User Grisselle
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1 Answer

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Final answer:

To find dt / dy, differentiate each term on the right-hand side of the equation with respect to y. The derivative of 6x^2 with respect to y is 0 and the derivative of 5y with respect to y is 5. Therefore, dt / dy = 5.

Step-by-step explanation:

To find dt / dy, we need to differentiate the given equation with respect to y. Let's start by differentiating each term on the right-hand side of the equation. The derivative of 6x^2 with respect to y is 0 because x does not depend on y. The derivative of 5y with respect to y is simply 5. Therefore, dt / dy = 5.

User Rob Kovacs
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