Consider the function
?(?)=?^3 − 4x^2 + 3? − 2
1) Find the average slope of this function on the interval (1,5).
2) Find c.
By the Mean Value Theorem, we know there exists a c in the open interval (1,5)such that f′(c) is equal to this mean slope. Find the value of c in the interval which works.
I assume the answer of first one is 10, but I wasn't sure how to approach the second one. Please help!
The average slope of this function
From Mean value theorem
Value which is in the given interval (0,5)
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