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
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
Similar Questions
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
For the given curve: y = 5x – 2x3, when x increases at the rate of 2 units/sec, then how fast is the slope of curve changes when x = 3?
The rate at which the energy of the lizard needs is changing as its weight increases is approximately
The population of a city is 160,000.If it increases at the rate of 6% per annum, then what will be its population 2 years hence?Options1797762580000NONE1000000
As temperature increases, the rate of photosynthesisIncreasesDecreasesFirst increases then decreases againRemains the same