What is the relative error in estimating the fırst derivative of f (x) difference approach with h-0.25? 25x- 6x2 + 7x 88 at x-2. using central O 0.98 % O 0.55 % O 1.56 % O 2.05 %

Q: Example: Find the first and second order derivatives of f(x) = xe* at x=2.5. Compute the percentage…

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Q: What is the relative error in estimating the first derivative of f(x) = 25x³ - 6x² + 7x - 88 at x=2,…

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Q: What is the derivative of* 2х + 3 f(x)%= 2r2 + 7r +6

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Q: Find the derivative of the function. g(x) = ex³ - 2x g'(x) =

A: The function is given by gx = ex5-2x Formula Used: The chain rule of the derivative is ddxfgx =…

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Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x - 3)2 %3D…

A: We can find the tangent equation and normal equation as below.

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Q: Find the approximate error, relative approximate error, and absolute relative approximate error of…

A: The approximate error is calculated using the formula: Ea=Present value-Previous value. The relative…

Q: For the function f(x) x + x3, find all of the relative and absolute extrema using the first or…

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Q: What is the relative error in estimating the first derivative of f (z) = 25x - 6x2 + 7x- 88 at x-2,…

A: Given equation is f(x) = 25x3 - 6x2 + 7x - 88∴ f′(x) = 75x2 - 12x + 7

Q: Given Derivative Sx) = 3x2 + 7x + 1

A: Given function: fx=3x2+7x+1 Basic concept: Here we shall use basic power rule. fx=cxnf'x=cnxn-1

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Q: Using the 2nd Derivative Test, find all relative extrema of f (x) = 2x - 3x-4. Justify your answers.

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Q: Use forward, backward and central difference approximations to estimate the first derivative of:…

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Q: What is the relative error in estimating the first derivative of f (x) = 25x - 6x? + 7x -88 at x-2,…

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Q: Use the product rule to find the derivative. f(x) = (3x - 2)(6x + 1) %3D O f(x) = 36x - 4.5 !3! O…

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Q: fine Use FTC-1 to find the derivative of the function g(y) dz 1+ %3D

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Q: (2+2)5 Find the derivative of f(z) = 2-i

A: We will use the formula uv' = vu'-uv'v2 Given f(z) = (z+2)5z-i

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Q: What is the approximate value of the first derivative of S(x)=-0.1x*-0. 15x-0.5x-0.25x-1. 2 at…

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Q: Determine the derivative of the given function by using two different methods

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Q: Evaluate f'(a) for the function f(x)= 2x² – 5x+1 What does f'(a) represent?

A: NOTE: Refresh your page if you can't see any equations. . take derivative take x=a

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Q: find derivative of x3 x? 3x3 3x? noe of the above

A: Given,  The expression x3  We have to find the derivative of  x3.

Q: y = (5x + 2) 6x – 1 %3D -

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