Let ff be the function given by f(x)=2x3−5x2+8x+1f(x)=2x3−5x2+8x+1 on the closed interval [0,3][0,3]. What is the instantaneous rate of change of f′f′at x=1x=1 ?

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Q: Calculate the linearization L of f(x) : 5e* at x = 1. x2 Express your answer in terms of e and x.

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Q: 7. Let f(x + iy) = (3x²y – y³) + i(3xy² – x³). Decide if f (x + iy) is differentiable and if it is,…

A: Given function is  fx+iy=3x2y-y3+i3xy2-x3                       (i) The function f is differentiable…

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A: x=0 is near a=0.11

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Q: Find the linearization of the function f (x) = x' at x = 1. a ab Va |a| sin (a) 7 х-6 L (x) Using…

A: Given a function,

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A: The solution of the problem is given in the next step.

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A: Given: f(x)=tan(kx)x,   x<03x+2k2,   x≥0 A function f(x) is continuous at x=a, if limx→a-f(x) =…

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Q: What is the linear approximation of the function f (x) = e x at x = 1?

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Q: Find the linearization L(x) of the function f(x)=x^3/4 at x=1

A: Given, f(x)= x³/4 x=1 Therefore, f(x=1)=1³/4 f(x=1)=1/4

Q: 12. Consider the function f (x) = sin (nx). On the interval [0,3]. At what value of x would the…

A: Topic = Derivative

Q: Find the linearization of the function f (x) = xº at x = 1. L (x) = Using this linearlization, f…

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Q: Find the linear approximation to f(x) = at a = 4.

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Q: Find linearizing ( L(x) ) f(x) at x=a . where f(x) = tanx and a = π a) π b)  x - π c) π - x d)…

A: SOLUTION-

Q: Q2:A/ Consider the function f(x) = 11x+3 -what are the first and second derivatives? -what are the…

A: We will answer the first three subparts of the first question as per our guideline. Please resubmit…

Q: Differentiate the function. y=In(x²+e' y=In(x²+ean x)

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Q: 3- Show that this function is differentiable for all and find its derivative f(2) = f(x+jy) x - 15x…

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Q: Find the linearization L(x)of f(x)at x = a where f(x) = Vx² + 9 at a = –4

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Q: Find the best linear approximation to f on th e interval [0, 1].                            f (x)…

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Q: Find a linear approximation of the function f(x) = V1-x at a = 0. %3D

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Q: Find the linearization of the function f (x) = x³ at x = 1. L(x) = Using this linearlization, ƒ…

A: Answer is in next step.

Q: Find the linearization of the function f(x): L(z)= ab a --4x-5 va a न 4x+3 at z=-1 sin (a) E

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Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a =. 3 L(x) =

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Q: Find the linearization of the function f (x) = x6 at x = 1. L (x) = Using this linearlization, f…

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Q: Find the linearization L(X) of the function at a. f(x) = Vx, a = 16 L(x) =

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Q: 3 Consider the function f(x) = 2+ 1+ (x+1)? Compute the derivative f'(x) . Determine all of the…

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Q: Find the best linear approximation to f(x) = ex on the interval [-1,1]

A: We have to find the best linear approximation of f(x)=ex on the interval -1,1.

Q: 4. Let f(x) = 3r2 – 2x + 1. (a) Find the average rate of change of f(x) on the interval [1,3]. (b)…

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Q: The derivative of the function f(x) = 5+ ln r is: 1 a. f'(x) = 2.x/5+ In x b. f'(x) = 2/5+ In x In x…

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Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a = 3 L(x)

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Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: To find a linearization at a suitable chosen integral near a= 0.11 at which the below function and…

Q: Find the linearization L(x) of the function at a. f(x)= sin(x), a= π\4

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Q: Find the linearization L(x) of the function at a. п f(x) = sin(x), a = 6 L(x) =

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Q: Show that the linearization of f(x) = (1 + x)k at x = 0 is L(x) = 1+ kx.

A: We need a linear approximation formula for f(x).

Q: 11) Find a function y-f (x) that satisfies both conditions: d - 6x -4x+5,f(-1) =3 dx %3D dy 2 3 ==+…

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Q: Find the linearization of the function f(x)=x5 at x=1. L(x)= Using this linearlization, f(1.04).is…

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Q: Find the average rate of change of the function f(x) = 2x- 4x 8, on the interval r E [-3,2]. |3D

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Q: Find the local linear approximation L (x)of the function f (x) = lnx at x = 1 %3D

A: LINEAR APPROXIMATION

Q: Find the linearization of the function f(x)=x2+2cosx at a=0.

A: Linearization of a function f(x) at x = a is given by, Now,

Q: Find the derivative of the function x³(2x + 1) f(x) = In x2 – 3 Select the correct answer below: O…

A: We can make it easier for you.

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

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Q: Calculate the derivatives of all orders: f'(x), f"(x), f"'(x), f(4)(x), f(x) = e3x - 1 f(x) = 3e3r-1…

A: We use chain rule to find these derivatives