Respuesta :
The function is f(x) = x³ − 4x² + 2.
How to find the slope?
The slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
- Find the difference between the y coordinates, Δy is change in y.
- Find the difference between the x coordinates, Δx is change in x.
- Divide Δy by Δx to find slope.
As,
Slope = rise/ run
Given:.
f(x) = x³ − 4x² + 2
As a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit.
Then the slope of the function is given by the differentiation.
slope= d/dx [f(x)]
slope= d/dx ( x³ − 4x² + 2)
slope= 3x² - 8x
slope= 3* 3* 3 -8*3
slope= 27-24
slope= 3
Learn more about the slope here:
brainly.com/question/2503591
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