To find dy/dt, we first need to find the derivative of y with respect to x. This is done by applying the power rule and the constant multiple rule in calculus.

The derivative of y = 2x^3 + 5x with respect to x is dy/dx = 6x^2 + 5.

Next, we substitute x = 3 into dy/dx to find the rate of change of y with respect to x at x = 3.

So, dy/dx = 6*(3)^2 + 5 = 6*9 + 5 = 54 + 5 = 59.

Finally, we use the chain rule which states that dy/dt = dy/dx * dx/dt. Given that dx/dt = 2, we find that dy/dt = 59 * 2 = 118.

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To find dy/dt, we first need to find the derivative of y with respect to x. This is done by applying the power rule and the constant multiple rule in calculus.

The derivative of y = 2x^3 + 5x with respect to x is dy/dx = 6x^2 + 5.

Next, we substitute x = 3 into dy/dx to find the rate of change of y with respect to x at x = 3.

So, dy/dx = 6*(3)^2 + 5 = 6*9 + 5 = 54 + 5 = 59.

Finally, we use the chain rule which states that dy/dt = dy/dx * dx/dt. Given that dx/dt = 2, we find that dy/dt = 59 * 2 = 118.

Knowee AI · Accepted Answer

To find dy/dt, we first need to find the derivative of y with respect to x. This is done by applying the power rule and the constant multiple rule in calculus.

The derivative of y = 2x^3 + 5x with respect to x is dy/dx = 6x^2 + 5.

Next, we substitute x = 3 into dy/dx to find the rate of change of y with respect to x at x = 3.

So, dy/dx = 6*(3)^2 + 5 = 6*9 + 5 = 54 + 5 = 59.

Finally, we use the chain rule which states that dy/dt = dy/dx * dx/dt. Given that dx/dt = 2, we find that dy/dt = 59 * 2 = 118.

If y = 2x3 + 5x and dxdt = 2, find dydt when x = 3.dydt =

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