Calculate the average rate of change of the given function over the given interval. f(x) = 3x² - ; [4, 8]

Q: Differenti ate each function ) y= V+ In (+*)

A: This question is based on chain rule differentiation.

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: Determine where f is increasing. ∫(x) = x3

A: Given: Determine where f is increasing.  f(x) = x3

Q: Find the point on the graph of f(x)=(x+1)2 that is closest to the point (-5, 1). Round to three…

A:

Q: The derivative of the function f(x) 3x is

A: f(x)=x+x3x

Q: If the first derivative is positive, the function is [Select] If the first derivative is negative,…

A: Answer...1. Function is Increasing.2. Function is Decreasing. Explanation: 1. If the first…

Q: Consider the function.   What is the approximate average rate of change of f(x)f(x) from x=0x=0 to…

A: Average rate of change is ratio of difference of f(x) to difference of x.