Differentiate y = ln ( x 3 + 1 )

Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: find y' for y = 2Vsinx sinh-1(logx). %3D

A: y'=log2· 2sinx-1.cosx.sinh-1(logx)sinx+2sinxxlog2x+1

Q: Integrate 01-In x + C о √(5-2) x – 10 ln |x| X - - - 1 10 In |x| 2 25 Olnx-25x + C ▬▬▬▬▬▬▬▬ X dx. +C…

A: Topic = Integration

Q: Differentiate the following function.   y = ln(x2 + ex)

A: Given function is y=lnx2+ex. To differentiate the function. Solution: Power rule of differentiation…

Q: Find y' for y = (2(x^2+1))/(x(sqrtx+1)) using logarithmic differentiation

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Q: Find the First Derivative: y=log10(5x+3/5x-4)

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Q: Differentiate  y=sin(ln(5x2-2x))

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Q: Differentiate  f (x) = 1/ln(x4 + 5)

A: We have the given function as fx=1lnx4+5         ⋯⋯1 We know that, from the quotient rule of…

Q: Differentiate y =( logx) sinx

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Q: Find the indicated derivative and simplify. [3x log x³] dx [3x log x³] = dx (Type an exact answer.)

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: What is the derivative of the natural logarithm function ln x? How does the domain of the derivative…

A: Given: fx=ln x To find: (a) The derivative of f(x)  (b) Compare the domain of the derivative with…

Q: Evaluate the derivative: y = log2(log2x)

A: It is given that,

Q: Find the indicated derivative and simplify. [6x log x°] dx [6x log x ]= 125 dx (Type an exact…

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Q: Use logarithmic differentiation to find dy/dx of y=(lnx)lnx

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Q: Find using logarithmic differentiation if y = (2z). dr %3D

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Q: what is the growth rate of the cells after 6 hours has gone by

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Q: Find the derivative: y = x [ln(x) - 1] O ln(x) - 1 о O x ln(x) O In(x) O 1 + In(x)

A: Given y=x[lnx-1]To find dydx:

Q: V3x+1(4x+1) (1– 2x)* Calculate y: y=

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Q: Find the antiderivative of antiderivative of x2(ln(10x))2

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Q: Find the derivative: ln ((x+1)/(2x-1))^(2)

A: First simplify the expression using properties of lograthim than take derivative.

Q: Differentiate the following function.   y = ln(3x+1) - ln 3

A: We need to differentiate the following function.   y = ln(3x+1) - ln 3

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

A: Consider the given function.

Q: State the derivative rule for the logarithmic function ƒ(x) = logb x.How does it differ from the…

A: Given: fx=logbx for finding derivative of given function, first we convert it's base in e then…

Q: Suppose that $15,000 is invested and at the end of 3 yr, the value of the account is $19,356.92. Use…

A: Given :            $15,000 is invested and at the end of 3 yr, the value of the account is…

Q: Evaluate the derivative. * d (log10 (x)) dx (In(10)) O Option 1

A: we have to find the derivative

Q: What are the domain and range of ln x?

A: Given: y=lnx we know that in lnx, x>0 so, domain of given function is x>0

Q: What are three methods that can be used to estimate the instantaneous rate of change in g(x) at x =…

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Q: Find the given derivative 6 Dx 7x 1 Dx 7x 5 LN +

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Q: Find the slope of the tangent line to the exponential function at the point  (0, 1). y = ex/3

A: Slope of tangent line is derivative of the given function at that point.

Q: Differentiate  y = ln(2x + 1)

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Q: Differentiate  y = ln(4x2 - 2x + 9)

A: To differentiate  y=ln(4x2-2x+9) The given function is a composite function, Hence, let u=4x2-2x+9…

Q: What's the derivative of ln(ln(ln(lnx^3)))

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Q: Calculate the derivative and use logarithm rules to simplify   g(x) = ln((x^3 + 2x)(x+1)^10)

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Q: Find and sketch an exponential equation of the form y = Ce^kx that passes through the points (0,8)…

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Q: Use log differentiation. y = (cosx)lnx

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Q: Find a number such that the tangent line to the graph y= log,(x) at x = a is parallel to the tangent…

A: The objective is to find the value of a

Q: loga sin (V)|] dz

A: We have to find derivative.

Q: 6. y = (x² – 1)tnx

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Q: Find dx by logarithnic differentiation. (3x-2)(x"+3)

A: d(logx)/dx = 1/x

Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y (0, 1) 1

A: Tangent to a curve is a line which just touches the curve and in some sense is parallel to the…

Q: 3. Differentiate y = xcosh x (Use logarithmic differentiation)

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Q: Find the nth order derivative of the natural logarithm function y=lnx.

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Q: Find the derivative of the natural logarithm y=lnx.

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Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

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Q: (b) Using logarithmic differentiation, find y if y =r' 5* cosh" 4r.

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Q: Find dz using logarithmic differentiation if y (2z). %3D

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Q: Find the derivatives of x log x.log(logx)

A: We have to find the derivative of-  x logx.log(logx)

Q: What is the derivative of log (x²)? ○ 2x-log(x²) 1 x² 2x O log(2x) O exp(2x)

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