Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = -3x2 + 12x + 36
Question
Solution 1
To find the intervals where the function is increasing or decreasing, we first need to find the derivative of the function.
The derivative of f(x) = -3x^2 + 12x + 36 is f'(x) = -6x + 12.
Next, we set the derivative equal to zero and solve for x to find the critical points:
-6x + 12 = 0 -6x = -12 Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
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 domain of the function. (Enter your answer using interval notation.)f(x) = log9(12 − 4x)
Find the values of a and b if the function and f(x) decreases toand then increases, and f(1) = -29
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.