-2 (d) f(x) = (x²-x-²)-²

Q: 3. Assume that f is one – to – one function. - a. if f(4) = 18, find f'(18). Explain. b. if f(88) =…

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Q: Find the derivative for the function Select one: 2 Ob. OC -2 Od. 1 e. 7 9 x²-2 x when x = 3

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Q: Assume that f is a one-to-one function. (a) If f(1) = 8, find f −1(8). (b) If f −1(3) = −9, find…

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Q: Find all values of x (if any) where the tangent line to the graph of the function is horizontal. y…

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Q: Construct a first derivative sign chart for f. On which interval(s) is the function f increasing? On…

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Q: What is the direction in which f increases most rapidly?

A: The maximum value of directional derivative  Dufx  is given by ∇fx and will occur in the direction…

Q: Refer to the function below and evaluate it where f (7). /(t) = -3 (-3 ( +-1))' + -1

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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: Estimate L4 and R4 over [0, 7] for the function f(x) = 5x². (Use decimal notation. Give your answers…

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Q: R(x) = //x – 1 X.

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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…