= -3 and g'(x) = Suppose that we don't have a formula for g(x) but we know that g(1) Vx2 8 for all x Use a linear approximation to estimate g(0.95) and g(1.05) g(0.95) g(1.05)

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A: Given: f(x)=ln(x) To find: Local linear approximation L(x) of the given function at x=1.

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Q: Use y = (x² – 4x)² and its derivative Y = 4x(x – 2)(x – 4) to find each of the following. dx Find…

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Q: Q 3) Find the critical numbers of f(x) = x4(x - 1). Derivative Test' tell you about the behavior of…

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Q: Use y = (x² – 6x)² and its derivative = 4x(x – 3)(x – 6) to find each of the following. dx Find the…

A: we'll answer the first question since the exact one wasn't specified ,please submit a new question…

Q: Find a root of an equation f(x) = x^4-2 using Halley's method.

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Q: For  the function g(x) = 3x2e-x (a) Find all critical numbers. (b) Find the intervals on which g(x)…

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Q: 3 5.) y = ; x+5

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Q: 1. Show a numerical method of approximating the instantaneous rate of change at x = 3 for the…

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Q: Using incremental search with x1 = 1.5 and Ax = 0.01, %3D %3D approximate the solution of Inx = =…

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Q: Find critical points of ƒ(x) = x² ln(x) — 1⁄x² on the interval (0, ∞).

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Q: 4. Using the expression (x + Ax)² = x" + nx-Ax +n(n – 1)x"-²Ax² + + Ax" ... prove that if f = ax"…

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