take natural log from both sides and solve the right side using the log rules. Then, take derivative of both sides and use the chain rule for the left side.

Q: Find the derivative of y = x3 – 6x², using first principle.

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Q: Find the derivative of the inverse function for y=2x3−1 and calculate its value at x=2.

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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 first and second derivative if 1 w = 3z-2 ミ

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Q: Use logarithmic differentiation to find the derivative of the function. 5 + 4x2 y = x2 + 1 y' =

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (8x4…

A: Given: y=8x4+53

Q: Use logarithmic differentiation to find the derivative of the function y=(x²+3)² (2x³-5) 27

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Q: Find the second derivative of 1/square root of 2t

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Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 2n +4n in (2n) X

A: Follow the procedure given below.

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

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Q: Use the same-derivative argument, as was done to prove the Product and Power Rules for logarithms,…

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

A: The given function is ;  y=x2+9x-2  ...........................(1) differentiate with respect to x

Q: Use logarithmic differentiation to find the derivative of y = In(5x)'n(7x): y

A: Topic:- Derivative

Q: y = log4((2x³ – x² + 7)(x² + 4)) %3D -

A: From the property of logarithmic, logab=logeblogea=lnblna So, the given function is:…

Q: Solve for the second derivative of the following implicit function

A: We can solve this as follows:

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 derivativey=log(to the 4th) time (2x Third -6x)

A: To apply the rules for derivative of composite functions

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: Find the derivative of f(x) = log35x2+1

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Q: Use logarithmic differentiation to find for the function /2x-3 y = 7.re

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Q: Find the derivative of f(x) = log3 5x2 +1

A: Find the derivative of fx=log35x2+1

Q: Use logarithmic differentiation to find 3/. Y = 2-23

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Q: Use logarithmic differentiation to find the derivativeof the function.

A: We have to find derivative of the function using logarithmic properties: y=x+14x-53x-38 We know…

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

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Q: Use logarithmic differentiation to find the derivative.

A: We have given y=x+1x+22x+3x+4 Taking log on both sides…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

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Q: Use logarithmic differentiation to find the derivative of the function. V5 + 4x2 y = + 1 y' = 3.

A: The given equation is y=5+4x2x2+13.

Q: Acrsin a2_v2

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Q: 3. =メー1 x+1 デー

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Q: Use properties of logarithms to find the derivative of f(r) = In ((2. 2)

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Q: what is the derivative of 1/x2

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Q: Use logarithmic differentiation to find the derivative of the equation. Y= (x + 1)^2*(x + 2)^3

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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: Use logarithmic differentiation to find the derivative. x2+6 y = x2+7

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Q: Use logarithmic differentiation to find the derivative of y. 20) y = (x4 + 1)³(x - 1)2x4

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Q: Use logarithmic differentiation to find the derivative of the function. y = x9x y'(x) =

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Q: Use the chain rule to find the derivative of 8√3x^10+5x^3

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Q: 4 - 1 У — уз - 1

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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: the

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Q: ミr

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

A: Given,            y=elnx3

Q: Find the derivative of the function: f(x)=  (3square root of x)-4x2 + log x +12

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Q: * Use the chain rule to find the derivative of

A: Given,        w = xy Here,         x=tan(t),   y=csc(t)

Q: Solve for the derivative

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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: Write the derivative of 7 log8(x)

A: We have to find the derivative of 7 log8(x).

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

A: