use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

Q: Use the General Power Rule where appropriate to find the derivative of the following functions.

A: We have to find the derivative of the function: y=lnx3+1π We know that lnam=m lna Therefore given…

Q: Find the derivative of the function. y = e-4x5 y' =

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

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Q: Find the second order derivative of f(x) exsinxcos2x

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Q: Find the nth-order derivative of the function y=x3sin2x.

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Q: . Use logarithmic differentiation to find the derivative of the function. x-1 y= x*+1

A: We can find the derivative as below using logarithmic differentiation

Q: Use logarithmic differentiation to find the derivative of the function. y = x*

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Q: Use logarithmic differentiation to find the derivative of the function. 5x y' =

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Q: Use logarithmic differentiation to find the derivative of the function. y = xln(x)

A: aur objective is to find the derivative.

Q: Find the derivative of the function. h(x) = ex² - > x + 5 %3D

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Q: Use logarithmic differentiation to find the derivative of the function. y = x4/x y'(x) =

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Q: Find the derivative of y = ÷+; x2

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Q: Find the derivative, g' (x)

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Q: Use the Chain Rule to find the derivative. y = sin2 x

A: Given the function fgx. The derivative of the expression using chain rule is f'gxg'x. The derivative…

Q: Use logarithmic differentiation to find the derivative of the function. y = x8x

A: We have to find the derivative of the function y=x8x by using logarithmic differentiation.

Q: Find the derivative. (Hint: take the natural log of both sides.) y = x3x

A: We will take log on both side to get the answer.

Q: Use logarithmic differentiation to find the derivative of y = = x'/x

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Q: Find the derivative of the function y=x2sinx.

A: Given: y=x2 sin x To determine: Derivative of the given function.

Q: (x) = ,2x+1

A: Explanation and solutions is given below....

Q: find the derivative of: f(x)= x^(1/x) using logarithmic derivatives

A: Given function

Q: Find the derivative of [(xt1)*] /x.

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Q: 4. Use logarithmic differentiation to find the derivative of the function y = x c0sx.

A: So we are going to take natural logrithm to both side and solve them so I'm providing hand written…

Q: use the Chain Rule to find the derivative. y = sin2 x

A: To differentiate: y=sin2x Solution: y=sin2xDifferentiating both sides w.r.t x we…

Q: Find the derivative of y = x2".

A: Find the derivative

Q: sech e2x3

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Q: find the first derivative of the function y=sinsin3x

A: Given,           y=sinsin3xTo find: The first derivative of the function.

Q: use the Chain Rule to find the derivative. y = e2x2

A: To find the derivative of y=e2x2 using chain rule. Solution: Chain rule of differentiation states…

Q: Use the chain rule to find the derivative of 2e9z7 Use e^x for e".

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Q: Use log differentiation to find derivative of y with respect to the given independent variable

A: Topic = Derivative

Q: Find the derivative. y = (lnx) 2

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Q: Use logarithmic differentiation to find the derivative of y. 22) y = /x(x+ 5)

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Q: Find the third derivative of the function y=e2xlnx.

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Q: Use logarithmic differentiation to find the derivative of y = x'/x

A: Given: y=x1x to find: Derivative using logarthmic or y'=? formula used: a) log mn=n  log m b) Chain…

Q: f(x) e3x+1 lnx³

A: Here we have two functions in the right hand side. That is f(x) is the product of two functions. So…

Q: Use logarithmic differentiation to find the derivative of the function. V = x In(x)

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Q: Find the SECOND derivative of the given function.

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find the derivative of the function. y = x2 In x2

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Q: Use logarithmic differentiation to find the derivative of the function. y = Vxe* (x² + 9)10 У -

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Q: Find the derivative of the function. g(x) = 9 + In(x)

A: We have to find the derivative of : g(x)=ex29+ln(x)

Q: Use logarithmic differentiation to find the derivative of the function. 7x y = y'(x) = %3D

A: We can find the derivative using logarithmic differentiation as below

Q: Use logarithmic differentiation to find the derivative of the function. y'(x) =

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Q: Use logarithmic differentiation to find the derivative of the function. х — 5 y = x° + 5

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Q: Use the Chain Rule to find the derivative.

A: First of all, consider the formula for the chain rule and the given function y. Then assume u and v…

Q: Use logarithmic differentiation to find the derivative of the function. 4/ x y = x*

A: Given function, y=x4x

Q: Use logarithmic differentiation to find the derivative of the function Зx VX у 3 У'3

A: To differentiate the following function

Q: Use logarithmic depreciation to find the derivative of y with respect to x

A: Given,  y = x7x+4   We have to derivative of y with respect to x

Q: Find the second derivative y" if y = elnx³

A: Given,            y=elnx3

Q: Find the derivative of the power function y=xn.

A: y= xn To find the derivative of y

Q: Use logarithmic differentiation to find the derivative of the function. y = (x3 + 2)2(x4 + 4)4

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Q: Find the derivative of the function. (2x

A: In the given question, the fundamental theorem of calculus is applied. The fundamental theorem of…