The table below gives selected values for the differentiable and increasing function f and its derivative. If g(x) = f(x), what is the value of g' (6)? a f(x) f'(x) 1 8 1 10 5 4 1 9. 10 7 Answer: Submit Answer 2. 6. 2] 6. 7.

Q: 2. Compute the derivative of the following functions: 1-e-* (a) f(x) = V1 – sin³ x, (b) f(x) =

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Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

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Q: 1) Given f(x, y) = x derivative of f? which of the following is Əyox the mixed second order par f

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Q: Q1) The dervative of the function f(x)= |x+2, using the definition of derivative is 1 b)- a) x+2 x+2

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A: The given function is f(x)=7e0.5x.

Q: Find the approximate value of derivative f′(0) with the step size h for the following function by…

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Q: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

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Q: Some values of adifferentiable function f and its derivative are given below. 2. 4. 15 13 10 6.…

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Q: All boxes with a square base, an open'top, and a volume of 160 ft have a surfac the surface area…

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Q: Find the approximate value of derivative f(0) with the step size h for the following function by…

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Q: Find the derivative of the following. g(x) (e2t + VE - t) dt g'(x)

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Q: 1. Use forward and centered difference approximation method to estimate the derivative of the…

A: Given that, the function is fx=x3-2x+4 and x=1.75, the step size is h=0.25. "Note that,  The forward…

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A: According to the chain rule, the derivative of any function y=p(q(x)) is given by:…

Q: 2. Use the definition of the derivative to find f'(x) and f"(x). a) f(x) = x? %3D

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Q: 4. Consider the function f(x) = Vx – 1 (a) Use the limit definition of derivative to find f'(x)

A: Ans:- Consider the function f(x)=x-1(a) we have to use the limit definition of derivative to find…

Q: pts) Use the following table to find f(g(x))· g(x) for x = 1. Hìnt: start by writing out the dx…

A: Concept : product rule for derivative is d(f(x).g(x))dx = f'(x) g(x)+g'(x)f(x)  given ddx…

Q: 3. Estimate the derivative of the function, f(x) = cos x + tan1 x, at xi= 0.5 using Richardson's…

A: To find the derivative of the function fx at x=x0 by Richardson's extrapolation centered finite…

Q: Compute forward difference approximations for the first derivative of the function, y =[ eln(x)2, at…

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Q: ) Given the following derivative function 2x – 5 f'(r) = Þ – I^ what are the critical numbers of…

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Q: Find the derivative at the given point. f(x)= at x = 0 %3D x+1 O 1/4 O-1

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Q: 2 3 4 7 F(x) 4 26 58 112 466 22 Find the first derivative of f(x) at x=5 from the above data.

A: Lagrange's interpolation formula for n points can be defined as :…

Q: Consider the derivative function h (x) = -sec? (x) + 9. What is the general antiderivative of h?

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Q: For a given equation, f(x) = xe* Compute the derivative at x = 2 using forward, backward and…

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Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

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Q: Evaluate the derivative of e22.1.png acos(b/x) f(x) = x2 if a = 73 and b = 0.7 at x = 5 using FDA…

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Q: Find the critical points of the following function. f(x) = X +49 What is the derivative of f(x) = x…

A: The critical points of a function are the points where f'(x)=0. To differentiate the given function…

Q: Which function has the same derivative function f(x) as g(x) = lnx + x² – x? Select one: O a. f(x) =…

A: Given: g(x)=ln x+x2-x The derivative of ln x is 1x. The rule for differentiation is ddxxn=nxn-1…

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A: given  fx=lnx f'x≈fx+h+2fx-3fx-h4h to find the actual error

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

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Q: The graph of a function is shown together with the tangent line at a point P. 10 9. 8. 7 6. 4. 3 2 1…

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Q: If you use the two-point central difference formula with h=0.1 to approximate the derivative of…

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Q: Find the derivative of the following functions using the long method (limits) (a) x = t* – 5t – 3…

A: (a) Consider the equation x=f(t)=12t4-5t-3 To find the derivative of this using the limits.  So we…

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

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Q: find the derivative of y with respect to x, t, or θ, as appropriate.

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Q: 1. y = cos2(2x − 1)

A: " Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose the derivative of f exists, and assume that f(2) = 1, and f'(2) = 2. Let g(x) = x2f(x), and…

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Q: 2. Using the definition of derivative, prove the following: 1 (a) f^(x)= if f(x) = Vx %3D

A: fx=x3

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Q: Find a formula for n.th order derivative of the given functions. 1 b) f(x) = VT 1 a) f(x) = c) f(x)…

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Q: find a linearization at a suitably chosen integer neara at which the given function and its…

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Q: Show that the following function is continuous at x = 1 for all values of p. (px + 1, if x > 1 f (x)…

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Q: 2- By using mumerical approximation ,the value of the derivative (f'(x)) in the table is true f(x)…

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Q: The graph of a function is shown together with the tangent line at a point P. y 5 4 3 2 1 2 3 4 6. 7…

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Q: 2. Using the definition of derivative, prove the following: 1 (a) f'(x) =E if f(x) = V

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Q: Find the derivative of the following functions by applying "Delta Metho Show your complete solution.…

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