For the curve ݕ = 5ݔ − 2ݔଷ ,if ݔ increases at the rate of 2units/sec, then atݔ = 3the slope of the curve is changing at

Question

For the curve ݕ = 5ݔ − 2ݔଷ ,if ݔ increases at the rate of 2units/sec, then atݔ = 3the slope of the curve is changing at
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Solution 1

The given curve is y = 5x - 2x^2.

First, we need to find the derivative of the curve to get the slope.

The derivative of y = 5x - 2x^2 is dy/dx = 5 - 4x.

At x = 3, the slope of the curve is dy/dx = 5 - 4*3 = -7.

Now, we need to find the rate at which the slope of the curve is changing. This is Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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