Differentiate the function. g(x) = In(xe-Sx)

Q: f (x) e1/x x2

A: Given function is fx=e1xx2

Q: (c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page 235 of the…

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Q: Find the length of the graph of the function y = ln (1 - x2), 0 ≤ x ≤ 1/2.

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

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Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: (c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page 235 of the…

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Q: .) What is the inner and the outer functions? b.) What is the derivative o

A: Given : The function is f(x) = x2+ 3x +1 .

Q: Find the first and second derivatives of the function. f(x) = (x2 + 6)5 f'(x) %3D f"(x)

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Q: Find the derivative of the function g(x)=(2x^2+2x+2)e^x g'(x)=

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Q: Find the domain and range of the function f(x, y) = ln(5 − x − y)

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Q: 12. h(x) = ln (x + vx² – 1

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Q: Consider the function f(x) = (x² – 6)(a² – 6æ) Compute the derivative. f'(x) =

A: In this we are going to use product rule of derivative to find out the solution so I'm providing…

Q: Find the derivative of the function g(x) g'(x) = ex + 3xe (2+3x)² = x| X et 2 + 3x

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Q: Find the domain of the function. f(x) = √(ln x)

A: To find domain of the function fx=lnx. Solution: Domain is the input value for which a function is…

Q: Find the derivative of the algebraic function.

A: Given: f(x)=4-3x-x2x2-1

Q: a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

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Q: 9) Find the derivative of each function a)f(x) = x'e* %3D

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Q: 5 .Let f(x) =x² -e*. Find the value of x for which the second derivative s"»equals zero. 2

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Q: Find the derivative of the function g(x)=e^x/2−x g'(x)=___

A: To find the derivative of the function gx=ex2-xg'x=?

Q: Vhat is the second derivative of f(x) = x'e? II

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Q: A) Find the first and second derivatives of the function g(x) = Vx² + 2x .

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

Q: Find the domain of the function: f(x) = ln(3 - x)

A: The Domain of a function Includes all values of x for which the function is defined. We know that a…

Q: find the second order derivatives of function f(X)  exsinxcos2

A: To find the second derivative of the below function. fx=exsinxcos2x

Q: Find the derivative of the function.

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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: Find the derivative of the function. (x² + 1)6*². 1 u(x) = u'(x) =

A: This question is related to differentiation solve in step 2.

Q: Find the derivative of the function. u(x) = (x² + 1)3³ ? - 1

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Q: Find the derivative of the function. g(x) = 4e√x g'(x) =

A: Consider the given function:

Q: (a) Use the definition of the derivative to calculate the first derivative f'(x) for the function…

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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 the function. f(x) : et? + 9

A: This question is about finding derivative of function.

Q: Find the inflection points of the function f(x) = x 2 ln x

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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 possible functions with the givenderivative. y' = -1/x2

A: Given: y'=1x2

Q: Calculate the derivative   f(x)=e^(6x^2) / e^x+e^(2x)

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Q: Differentiate the function t= (ln(y)) / y³

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Q: Find the average rate of change of the function f(x) 2x2 2x- 2, on the interval x E [2,4]. Average…

A: The average rate of change between two input values is the total change of the function values…

Q: Differentiate the function below y = ln ( ( etan x √(x2 +1) )  /  (x-3)5)

A: We first simplify the given function.  y=lnetanxx2+1(x-3)5y=ln(etanx)+lnx2+1-ln(x-3)5  [addition and…

Q: Differentiate the function g(x) = ln(xe-2x).

A: Given function is,

Q: Find the derivative of the function. Q(x) = V e8x + x %3D Q'(x) = %3D

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Q: 4. What is the SECOND derivative of the given function? * y = 3x³ - 2x² + x - √ y" =9x² - 4x + 1 y"…

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Q: 10 The derivative of the function f(x) = x7 + - 10 726 + (r³) 10 71° + (2) 1 10 7x + 10 10 726 (z²)…

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Q: Find all possible functions with the given derivative. f'(x) = x* f(x) =O

A: To find out the function.

Q: 8. Find f '(2) if f(x) = [g(x)]*, and g(x) = x + 2

A: g(x) = x+2  f(x) = [g(x)]4  f(x) = (x+2)4

Q: Find the derivative of the function y = In(x /x² + 14 X Vx²+14 1 Vx²+14 1 x²+14 x2+14

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first…

Q: Differentiate the function.

A: Given: y=ex1-ex

Q: 2. f(x) = 2x – 5x%

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Q: 2. Consider the function f(x) = e¯*. -2x (a) Show that the derivative is f'(x) = %3D

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