The domain of f(x)= sin(In( is

Q: Find the derivative of a function at a certain number using the formula f(x) – f(x1) x-X1 x- x1…

A: Here's the solution, please have a look at it...

Q: Consider the function f(x) whose second derivative is f''(x) = 3x +4 sin(a %3D If f(0) = 3 and f'(0)…

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Q: f(x) = cos (x – a -2).

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Q: Find the derivative of the following: 1. y=x(V1- x³ ) 1+x 2. у-. 1-x (x³+5) V4-x² 3. у — x*-x2+6 sin…

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Q: The derivative of the function f is defined by f'(x) = x² – x – 2 cos (x2). If f(3) = 2, then use a…

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Q: 2. Find the derivative of the following functions: (5x+ 1)'(x + 3)5 cos°(x) sin°(x) (a.) f(x) = .…

A: Given f(x)=5x+77x2+35cos2x sin3x3   As per our guidelines we are supposed to answer only first…

Q: Find the derivative of the following. 2. g(x) = sin x tan x 1+sin x 3. h(x) = 1-sin x x+4 4. i(x) =…

A: 2.g(x)=sinx tanx3.h(x)=1+sinx1-sinx4.i(x)=x+4cosx5.j(x)=[(x2+cosx)(2x-sinx)]

Q: Consider the function f(x) whose second derivative is f''(x) = 2x + 2 sin(x). If f(0) = 3 and f'(0)…

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Q: write the function as a composite f (g(x)) and compute the derivative using the Chain Rule. y = (x +…

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. (If…

A: Differentiate the function fx=xx2+1 with respect to x, to obtain f'(x) and f''(x).…

Q: Find the derivative of the function. f(x): f(x) = 2xarccos(x) – 2/1 – x² 2arccos(x) + 2 2arc cos (x)…

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Q: *(x) = x² +x – 7 , find f'(a) at a = -2 by using the definition of derivative.

A: To find the f'(a) using definition of derivative

Q: Find the ninety-ninth derivative of the function ƒ (x) = cos(2x). O f(99) (x) = 2 sin(2x) 99 f(99)…

A: Given : f(x) = cos (2x)    Times = 99

Q: The derivative of f(x) = cos-(2x) is:

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. '2 G(x)…

A: We have to find the derivative from the given

Q: 2. f: R→ R, such that f(x) = x(2x − 3).

A: We can find the answer as below.

Q: Find the anti-derivative of the following: a.) f(x)=4x1/2-(4/x1/2) b.)…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: f. y=In(x8+1)

A: We will solve the problem

Q: Use the following derivative function f' to determine the local minima and maxima of the function f:…

A: Consider the provided question,

Q: · f(x) = sin(In r²) %3D

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Q: 1-Find the first derivative of the following function f( x) 5 cos (10x) + x' – 2x – 6x+ 10 For x=2…

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Q: Define f = sin(px^3)+cos(qx)^2 as a function of x (with p and q constant) and differentiate with…

A: see 2nd step.

Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

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Q: 1. Compute the first, second, and third derivative of a. f(x) = x2 In(x+1) %3D b. h(x) = x2 sin x…

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Q: b) Use the definition of the derivative to compute f'(x) for 1)f(x) = 2v-5x + 9, 2)f(x) = x sin 3x…

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Q: Use the chain rule to find the derivatives of f(x) and g(x) as well as f'(0) and g'(0): f(x) = (2x³…

A: According tp our guidelines we can solve only one question so we are solving 2nd question for you.…

Q: (4) Compute the derivatives of the following functions: (a) f(x) = 4x sin-1r

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Q: Use the Fundamental Theorem of Calculus to find the derivative of F(x). Simplify your answer. COs 1…

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Q: Compute the derivative f'(x)given sin x 1 dt 1- 12 f(x) = cos x

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Q: prove that if f = sin x the derivative is df = cos x. S dx %3D

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Q: 1. Compute the first, second, and third derivative of a. f(x) = x² In(x+1) b. h(x) = x² sin x

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Q: Apply the first derivative test to indentify all relative extrema. (b) f(x)=x²-2+1 (c) f(x) = cos²…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find the derivative of the following function with respect to x. V5x + 8 V1– 9 cos (4x) - h (x) =…

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: Find the linearization of the function at a. 1. f(x) = x^4 + 3x^2, a = -1 2. f(x) = sin x, a =…

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Q: Find the function f(x) whose derivatives is sin x and whose graph passes through the point (0,2). O…

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Q: Find the derivatives of the function f for n = 1, 2, 3, and 4. Use the results to write a general…

A: Given:fx=cos xxn for n=1,2,3,4Formula:ddxuv=vu'-uv'v2

Q: the derivative of sin (x) h(x) = (cos (t) + t)dt COs - 4 h'(x) = ||

A: Using Fundamental Thereom of Calculus of part 1 and chain rule,

Q: Find the derivative of the following functions: x² + 4 (a). f(x) = %3D x2 – 4 (b). f(x) = 2 tan '(x)…

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Q: Obtain the derivative of the function f(x) = 6cos(2x) TC and find the value of this derivative when…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(x) = | cos (t*)dt.…

A: Given query is to find the derivative if the expression.

Q: 2) Find the derivative of the following func (c). f(x) = (x+ 7 sin z) (1 – 5 cos x) tanx (d). g(x) =…

A: We can find the answers as below.

Q: 2. Find the derivative of (a) f(x) = x* + 3x 2+ 4e" 4 (b) f(x) = 2 tan(x)- 2"

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the derivative of the following functions: x2 +4 (a). f(æ) = x2 %3D 4 (b). f(x) = 2 tan '(x) –…

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: Use Part I of the Fundamental Theorem of Calculus to find the derivative of the function. 8(x) = f…

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Q: Find the derivative f'(x) for the function f(x) = x² + x – 17. - O A. f'(x) = 2x – 16 В. f («) — 2а…

A: Find the derivative of f(x)

Q: Q1) Compute the derivative of the function f (t)= | sin² x²dx. -t

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Q: Consider the function f(x) whose second derivative is f''(x) = 9x + 10 sin(x). If f(0) = 3 and f'(0)…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.