9. g(x) = In(xe 2x)

Q: Find the interval on which the graph of f(x)=ln(x^2+1) is concave upward ?

A:

Q: 4) f(x) e**+6x

A: If F(x) = f(g(x)) , then F'(x)= f'(g(x)).g'(x). dexdx=ex dxndx=n.xn-1. Quotient Rule of…

Q: Find the second derivative of the function. 10. f(x) = 4x3/2 11. g(x) = x-1 12. h(x) = sec x

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Q: f (x) e1/x x2

A: Given function is fx=e1xx2

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x3 +…

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Q: 3 Find the derivative of f(x) = x°e*.

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Q: What is the derivative of f(x) = x² +x² a +2 where a is a constant ? xa+2

A: We write f(x) using exponents f(x)=x7+x2+a+2xa+2f(x)=x7+x2+(a+2)x-(a+2)

Q: Find the derivative of the algebraic function.

A: To Find the derivative of the algebraic function. f(x)=x2+5x+6x2-4

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

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Q: Find the derivative of f(x) = e* (3x' - 4) %3D

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Q: Find the derivative of the function.. 8 7 h(x) 218 4 х - h'(x)=

A: To find the drivative of the given function y=h(x)

Q: 12. h(x) = ln (x + vx² – 1

A:

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 described. (Rx5) 3. f (x) = (1 +x + x² + x³ )'³

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Q: Differentiate. f(x) = - 2 e -X t'(x) = ]

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Q: solve the derivative f(x) = e^3x / 1-x^3

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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 second derivative. 1 h(x) = x2 %3D | h"(x) = %3D

A:

Q: Find the domain of the function g(x) = /1 – x ln x

A: We have to find domain

Q: Find the derivative of the function. 1 g(x) x2 +o g'(x) =

A: Use the basic power rule of derivative and simplifie.

Q: 3e* Find the first derivative: f(x) = x (x+1)

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Q: Find the derivative of the function. s(x) = x8(x3− 4 x4 )  s'(x) =

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Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

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

Q: nd the derivative of the function. (6 – x)5/4' x4/5 y = In

A: We will find the derivative.

Q: b. f(x) = 3v2x %3D

A:

Q: Find the second derivative of the function.

A: Given: f(x)=x2+3xx-4 To find f''

Q: Find the second derivative of the function. y (3x + 7)3 y" =

A: Given  y = (3x+7)3   .......... (1)

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Consider the provided function, fx=4x+13x-6 Find the second derivative of the function and then find…

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: Differentiate the function. y=(4x– 1)* (2 -x³) ² dx

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

Q: Find the derivative of the function.

A: Differentiation is the process of finding the rate of change of one variable with respect to another…

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

A: Consider the given function:

Q: Find the first derivative of the function * 4 f (x) = Væ + 4

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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: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

Q: What is the derivative of y = √/x? 1x² X 2 2 1 X X 2 23

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Q: Find the derivative of the function. g(x) = 3(4 − 9x)5/6

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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 derivative of the function. f(x)% 3D(x²+1)(x² + 10)/3 f'(x)%3D

A: Given equation

Q: Find the derivative of the function. f(x) = (x² + 8) In(x) f'(x) =

A: In this question we need to find a derivative of the given function

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: 8) Find the derivative of each function: 2. a)g(x) = 3x +5x

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

A: Given function is,

Q: Differentiate the function ln(x2+y2)+2arctan y/x=0 implicitly.

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Q: What is the derivative of f(x)= e2x/ (3x+1)2

A: Given Function,fx = e2x3x+12

Q: Differentiate the function.

A: Given: y=ex1-ex

Q: Find the derivative of f(x) = e2" (3x² – x) %3D

A: