An approximation of f'(2.5) is: -0.52083 -0.09895 -0.14825 -0.14583

Q: Upoint Find the derivative with respect to x of 8. f(x) = ( (2x³ + 4)° + 6 ((2x³ + 4)* + 6)° + + 7.…

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Q: 1 Use the power rule to find the derivative of f(x) = Vx 15 f'(x) = %3D

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Q: Use the Power Rule to compute the derivative: %3D lx=7

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A: Consider a function:  fx=4xx4-4x2x+1      =4x4x-4x2x+1

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Q: Use forward difference approximation to estimate the first derivative of the following equation.…

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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

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Q: Find the derivative of f(x) = Vx2. What is f'(5), rounded to 3 decimal places?

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Q: Use forward, backward and central difference to estimate the first derivative of f(x) = In(x) at x =…

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Q: 10. y = Jx

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

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Q: Which of the following has a derivative of f (x) = 2x (arctanx + arccotx)?

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Q: Find The derivaTive of f(X) = -x²+ 3X + 2 Using the de finiTion of the derivative

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Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: Apply central divided difference approximation (CDD) to find the first 5 derivative of F(x) = e0.8x…

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Q: Find the derivative of f(x) = 9 sinh-' (x²) – 9 In ( Vx4 + 1). %3D

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Q: Estimate approximate derivative of f(x) = x2 at x = 1, for h = 0.2, 0.2, 0.05, 0.01 using first…

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Q: Find the derivative using the long method 3-t to

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Q: Use backward, forward, and centered difference approximation to estimate the second derivative of…

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Q: A piece of wire, 370 cm long, is to be bent into an isosceles triangle. What should the exact…

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Q: 7. y = Vx + 2

A: Using Delta method differentiate y. And using rationalising.  Follow step 2nd  .

Q: f(x) = x*Inx

A: TO FIND 5th order derivative f(x) = x4 lnx FORMULA USED  BIPART PRODUCT RULE OF DIFFERENTIATION…

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A: Given is the function  y=cos(sin(x))+1) Forward difference is found as:F'xi=Fxi+1-FxiΔx

Q: using the forward divided difference approximation with a step of 0.5, what is the derivative of…

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Q: Use backward, forward , and centered difference approximation to estimate the second derivative of…

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Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + 5 1 9) y =-+ 2 x3…

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Q: Find the derivative of f (x) = VI- 4z. To enter va, type sqrt(a). f' (2) = 固助

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Q: Compute the 10th derivative of ¹ (²7²) f(x) = arctan

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Q: The derivative of x at X = 1 is to I Frue or false 2

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Q: What is the average rate of change of f(X)= X2-2 on the interval [-1,3]?

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Q: What is the slope of the tangent line at (0,3) to the function f(x) = -sinx+3

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Q: Compute the second derivative with respect to r of 3x + 8 y = at x = 1.

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Q: Use a forward difference to approximate the derivative of f (x) at x = using h = 0.0001 -0.86627526…

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Q: Find the equation of the tangent line of f(x)=2x^2-4x+1 at (2,1) using the limit definition of a…

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Q: Use the definition of derivative to compute f '(0). e-1/x if x * 0 if x - 0 f(x) f '(0) -

A: The definition of the derivative is given by: f'(x)=limh→0f(x+h)-f(x)h⇒f'(0)=limh→0f(h)-f(0)h  ...…