If y=e2X, then the value of first derivative (y') is- 2e2x -2e2x e2x e-2x

Q: Find the first derivative of y = e3x. 3e3x

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Q: Find the first derivative of the following functions Y = x5 e-3 ln x and Y = ln √ [ (x – 1 ) / ( x…

A: Solution is given below:

Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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Q: Find the derivative.

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Q: 1. Find the first derivative " if y = x sin 27x . dx

A: Given:  y=x sin 2πxTo determine the firstderivative.

Q: Find the first derivative of y = (ln x)4

A: Given the  y = ( ln x)^4 We need to find the first derivative . Therefore differentiate to given…

Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: find the second derivative of y=ln(e^x+e^-x)

A: Given query is to find the second derivative of the expression.

Q: Find the derivative of y=ln[x^3(x^2-5)^3/4]

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Q: Find the first and second derivative of any function defined implicitly by yx2+ y2= x

A: Given,           yx2+y2=x

Q: 2.) Find 1st derivative of y = e-'In (x-1)

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Q: Find the derivative of the function.

A: Given y=lnx+1x-1

Q: Shows the derivative function of: e3x+5

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Q: Find the second derivative of the function. 3root(x) + e^(6x)ln(x)

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Q: y = (Arccos 3x³)³

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Q: If C(x)=x' + x°, evaluate the fourth derivative at x = 2. %3D

A: To find the fourth derivative of the function: C(x)=x5+x-3 at x=2

Q: Find the derivative: y = 6 In x 6 ln x-1 x7 1-6 ln x 12 1+6 ln x x12 4 O 1-6 ln x x7 O

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Q: 3. Find the second derivative of y= xlnx

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Q: Find the indicated nth derivative of the following functions: 4. 2nd derivative of y = x5e-3lnx ans.…

A: Topic -  derivative

Q: Determine the first derivative of the ff. function y = Vxe2* cos x

A: Derivative of a function gives the tangent of the curve at a given point. Derivatives are used to…

Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

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Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: Find the first derivative of = (ln x)* 4 y

A: From the given function; y=lnx4 We know that; The Power law: ddxxn=nxn-1 The chain rule:…

Q: Find the first derivative of y = 1 using the Chain Rule. (1– x4)6

A: These questions are related to differentiation, We will solve them using given information.

Q: What is the derivative of: y ln x − x ln y = 1

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

Q: 3x y = .3 х +3x

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Q: Find the second derivative of x² y² + xe = 2 sin y

A: Solution is given below:

Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

Q: Find the derivative of function.

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

Q: If y=Incscx, then the value of first derivative (y) is

A: The given function is y=ln cscx.

Q: 5. y=x3 Find derivative ldv 4.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find the derivative y=ln(2x^3+6x-1)^3

A: y=ln2x3+6x-13 take derivative y'=ddxln2x3+6x-13 y'=12x3+6x-13ddx2x3+6x-13

Q: Find the second derivative of the function given by the equation x+y=ex−y.

A: Using implicit differentiation and the chain rule we find y'

Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)

Q: What is the derivative of the function  x^8(ln(x)), and what can I substitute for x to make the…

A: We have to find derivative dy/dx and point where dy/dx =0y is given below:

Q: Find the derivative of y = csc(V3x² +1

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Q: solve the first and second derivative of Y= (1+lnx)  /  x

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: y=ln(sin(X3-1))

A: Detailed explanation is attached below.

Q: Find the derivative of ƒ(z) = ln2x 1. 2z

A: We first expand using the addition property of log.

Q: find the first derivative in the form of dy/dx y=(3x-ln(x))^5

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Q: What is the first derivative of g(x) = ln #*+1? x2

A: Derivative of ln(x):       ddx(ln(x))=1x Division rule of derivative:-…

Q: What is the derivative of e^-x

A: Given query is to find derivative of e-x

Q: Shows the derivative function of: x³  + ln x(3x² + 5)

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Q: Find the fourth derivative of the given: (Show complete solution from first to  fourth derivative)…

A: The function is given by y = (2x+1)25

Q: If y=Inx-x, then second derivative (y ) is-

A: The given function is y=lnx-x4. Evaluate the derivative of the function as follows.…

Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: Find the first derivative of x² + 3xy + y3 = 10 implicitly.

A: The given function x2+3xy+y3=10

Q: Solve for the first derivative of y = 3 sin x cos 3x

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