Exercise 2.3: Show that Eq. (2.5) reduces to - xuf (x₁)x₁f(xu) f(x₁)-f(xu) Xp = Xr = Xu ƒ(xv) (x₁ — Xu) -

Q: Given f(x) = x² – 4x find and simplify f(x

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Q: (B) Use the second derivative test to find the maxima and minima for f(2) = 22 - 15x + 1. 3 %3D

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Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

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Q: f(x) = x+ 4/x

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Q: Consider the function y = f(x) = 4x2+2x+7. Using only the table method, estimate f ′(2)

A: estimate  f'(2) =18

Q: Find the points of inflection of the function f(x)=e−x2.

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Q: f (x) = x2, x = - 1/2

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Q: e) k(x) = (2x-1) ³x

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Q: Find f(x) if f (x) = x/x given f(1) = 2. %3D

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Q: linearization

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Q: Find the f"(x). Given: f(x) = (3x + 1)(2x – 1)

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Q: If f(x) = V5x – 3, find f-1(x).

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Q: f(x)=xnex

A: f(x)=xn exThe doamin of the function is when n is even and odd is x∈ℝand the range of the function…

Q: dont understand the fourth and fifth row of equation of gh(x) and why the function is invalid?

A: Solution

Q: Consider the function g(x)=(f(x))^5. If f(4)=3 and f′(4)=−2, then find g′(4).

A: Given: g(x)=f(x)5f(4)=3f'(4)=-2

Q: et y = f(x) = (4√x + 6) (6√x+8) (7√x+6). Find the derivative function f(x) and evaluate it at x = 1.…

A: We have to find the derivative