Find the inverse function of the function f(x)= 2x on the domain r of (2) = () Of (z) = %3D Of (2) = (3) %3D Of (x) = Submit Answer 52 52

Q: 1. Is the function F(x) = {r³ - 3x2 +4x-2 an antiderivative of the function f(x) =x?-6x+4? Use the…

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Q: = (2),f %3D (त.ऋ) uj = (x)f 6(x+1) Break up the following function using laws of logarithms, then…

A: Given function is as below : f(x)=ln(6(x+1)x3)

Q: Consider y = f(x)=√1+2x, x 2-1/2. Without finding x = f(y) explicitly, find the derivative of the…

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Q: Find the first, second, third, and fourth derivatives of f(x) = + 4e". (a) ( O f(x) = %3D

A: Given : f(x)=1x+4ex Find the first derivative derivative of e^x is e^x Apply power rule to take…

Q: Find the derivative of the composite natural exponential functions 1. f(x) = In( 2. g(x) = In(v³ +1)…

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Q: Consider the function f(x) = 2x2+1. Find the equation of the tangent to the graph of f(x) at x = 2.…

A: Not sure why we need to calculate f inverse of 2. We do need to calculate the value of the…

Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =…

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Q: Differentiate and simplify this function g (y) = y3 / ln(2y)

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Q: 2. Differentiate cach function. Simplify as much as possible and express all answers using positive…

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Q: Consider the function, f(x) = (x + 1)ln(5x² + e). Without finding explicitly the inverse of f(x),…

A: Given : fx = x+1ln5x2+e

Q: 4. Let a be a real number such that 0 < a < 1, and let f(t) = eat – t where t e R. a) Find the…

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Q: Evaluate the function f(x) = log,x at x = 27 without using a calculator. %3D

A: Given that

Q: Determine the differential of y for the function y=3ln(4x2).  Simplify fully.

A: To Determine: Differential of y

Q: Using the inverse function rule, find . Find * if x = (y + 2y – 3)³

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Q: Find the first derivative f' and the original function f. f"(x) = x³ – 10x + 6, f' (0) = 7, f(0) = 2…

A: Note: according to our guidelines we can answer only first question

Q: Can you help with this problem step by step?

A: Given,

Q: Find the differentiation of inverse function for the following functions. (i) f(x) = (3x + 4)² (ii)…

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Q: a) Calculate the derivative of f Cx) by first expanding and Simplifyıng the function fCx)=(2-3x) 2

A: Given,           fx=2-3x2

Q: What is the derivative of the function f(x)= In(3x2) ? а. f'(x)= 2 b. None of these. с. 1 f'(x)= %3D…

A: We have given that  The function is f(x) = ln(3x2)

Q: V². Find the derivative of f(x) = In x² +1 %3D x(2r - 1)2

A: Derivative: f(x)=lnx2+1x(2x3-1)2ln(mn)=ln m-ln nln(x2+1)=12ln(x2+1)

Q: Find the linearization L(x) of the function at a. f(x) = x3 − x2 + 9,    a = −2 L(x) = ?

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Q: Use the second derivative to determine f"(4) for the function f (æ) = x² In (x) 2ln(4) +2 3ln(4) +3…

A: Derivative of the function

Q: 1. Find the differentiation of inverse function for the following functions. (a) f(x) = 2x³ - 5 (b)…

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Q: Q. / Find the derivative of y = (In(x²))'n(x²).

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Q: findthe domain of the function. f(x)=\sin e^{-x}

A: The domain of a function is the values of the variable that can be input into the function. The…

Q: Find the linearization of the function f(x)=ln(2x+3) at x=-1

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Q: Find the second derivative of the function. g(x) = 9/x + e6× In(x) g"(x) = %3D

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Q: Consider the function f(x) = (4-5x)7. Find the second derivative f" (1). O7(4 – 5z)® O-35 (4-5x)6…

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Q: 1.Find the derivative a. f(x) =x' In x b. f(x) = (x'+x-1)' %3D c. f(x) = 4e*- x %3D

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: Find The Domain of the Function. y = sin(log, x²]

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Q: y = In (*+1) °(x+1), (x+2)3

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Q: h(x) = (cos x)(4x²– 3)

A: Explanation of the answer is as follows

Q: 2) Find the derivative of the function. T(r) = ar² + 2e" + n². %3D

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Q: Find the derivative of the function f (x) = /e* – In(x) 12 – 1/x) O (ex12 – 1) O (e2 – 1/x) e? -x)

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Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =…

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Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: Find the derivative of f(x) = xe-2x O (E) None of these O f'(x) = x²e-22 re (-2) O f'(x) = 2x²e-2r O…

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Q: Solve for the derivative of the given functions using the Chain Rule formula. Let f(x) = √(x2 + 3x +…

A: (a) fx=x2+3x+1 Inner function : u=x2+3x+1. Outer function : y=u.

Q: Find all the antiderivatives of the following function. Check your work by taking derivatives. g(x)…

A: Given function is gx=11x10. Antiderivative is opposite of derivative. Antiderivative means…

Q: Consider the function f(x) = i + x². How does this function essentially behave for large positive…

A: The Given Function f(x) contains rational function x/(x2+1) and polynomial function function…

Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given, f(x)=sin(2x)+17

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: (a) Find the differentiation of inverse function for the following functions. (i) f(x) = (3x + 4)²…

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Q: Use the inverse function theorem to find the derivative x + 2 dg-1(x) g(x) = Hint : find d.x

A: We have to find derivative by using inverse function theorem d/fx(g-1(x))=1/(g'g-1(x))

Q: II. Find the derivative of the following functions. 3. f(x) = x² cos(4x³)

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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: Find the slope of the tangent line to its inverse function f^-1 at the indicated point P, and find…

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Q: Find the derivative of the function f(x) = 3x? – - 12x – 28 by definition of derivatives f(x + h) –…

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: Find the first and second derivatives of the function. g(t) = (3t2 - 3)2 (8r?) %3D

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Q: Evaluate the derivative of the inverse function of f at the given value c) f(x) = Vx² + 4 find…

A: Givenf(x)=x2+43