For the function f(x)=simplify the difference quotient: b) [(x+h)-700 What is the slope of the tangent to the curvey-(x + 1)²(x-1) at (2, 9)? a) 18 ✪

Q: f(x + h) – f(x) -2h(x + 3) – h? h(x +h + 3)2(x + 3)2 se that . Find the slope m of the tangent lir h

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Q: Determine coefficients a and b such that p(x) = x2 + ax +b satisfies p(1) = -10 and p'(1) = -8. a =

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Q: Consider the following. f(x) = 4x² - 8 Find the following values of the function. f(2 + Ax) = f(2) =…

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Q: Find the equation of the tangent line to the graph of the function f(x) = 2x²/3 4 at x = 8. Give…

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Q: State the derivative

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Q: Fast please..

A: Let's delve into the explanation of each part of the problem:### Part (a) Explanation:####…

Q: For the function f(x) = 10x² + 10x – 1, find the equation of the tangent line at x = 2.

A: Given function     f(x) = 10x2 + 10x - 1 at x = 2,     f(2) = 10(2)2 + 10(2)  - 1 = 59

Q: Consider the function f(x) = 1/3x3 + 3/2x2 - 4x. At which point(s) is the slope of the tangent line…

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