Find the intervals in which the following function  f(x)=20−9x+6x2−x3𝑓𝑥=20−9𝑥+6𝑥2−𝑥3 is(a)𝑎 Strictly increasing,(b)𝑏 Strictly decreasing.

Question

Find the intervals in which the following function  f(x)=20−9x+6x2−x3𝑓𝑥=20−9𝑥+6𝑥2−𝑥3 is(a)𝑎 Strictly increasing,(b)𝑏 Strictly decreasing.
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

To find the intervals where the function is strictly increasing or decreasing, we first need to find its derivative. The derivative of a function gives us the slope of the function at any point, and the sign of the derivative tells us whether the function is increasing or decreasing.

The function i 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

This problem has been solved

Similar Questions

Find the intervals in which the following function  f(x)=20−9x+6x2−x3𝑓𝑥=20−9𝑥+6𝑥2−𝑥3 is(a)𝑎 Strictly increasing,(b)𝑏 Strictly decreasing.

Find the open intervals on which the function 𝑓 is increasing or decreasing, and find the 𝑥-values of all relative extrema (turning points).𝑓(𝑥)=3⋅𝑥−𝑥3

Function f(x)=2x3−9x2+12x+29𝑓𝑥=2𝑥3-9𝑥2+12𝑥+29 is decreasing when x∈(a, b)𝑥∈𝑎, 𝑏 then find value of a+b𝑎+𝑏.

Find the open intervals on which the function 𝑓 is increasing or decreasing, and find the 𝑥-values of all relative extrema (turning points).𝑓(𝑥)=18⋅𝑥−𝑥3

The polynomials 𝑥3+𝑎 𝑥2−𝑥+𝑏x 3 +a x 2 −x+b and 𝑥3+𝑏 𝑥2−5 𝑥+3 𝑎x 3 +b x 2 −5 x+3 a both have 𝑥+2x+2 as a factor, the values of 𝑎a and 𝑏b are

1/2