4xª sin (–7x) Find the derivative of f(x) = ln using the properties of the logarithm. За — 3

Q: e cos e d (Inly)) = ? %3D do Simplity dy= ? de Simplity

A: Explanation of the answer is as follows

Q: (x+3)° 3. Use logarithmic diffrentiation to find the derivative of y' =- (1+2}(r+4}

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Q: Find the derivative of y = (-4x - 9)csc (x). Be sure to include parentheses around the arguments of…

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Q: se logarithmic aifferenti ion to find ay/dx. LD o not simplify the esuit. (6x + 1)2 y = 1)3

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Q: 3x-2 dy Find by logarithmic differentiation: y: da

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Q: Determine whether the equation, (ln x)(ln 1) = 0, is true or false. Where possible, show work to…

A: We know that (ln 1)=0  Then (ln x)(ln 1)= (ln x)(0)= 0  Because multiplication by 0 is 0.

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

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Q: y = tan-¹ (cosh x) (sin²x) (sech x) secz (use logarithm

A: We have to find dx/dy

Q: 1. a) Use Logarithmic differentiation to take derivative of (x3 + 1)4 sin? x y = f(x) =

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Q: Find dy/dx by logarithmic differentiation. 62 +1 sin (6²) 1–62 f (8) = elatan"(20)

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Q: 3) Use logarithmic differentiation to find the derivative of the function a) y = Vxe&(x? + 1)" Your…

A: We have to find derivative

Q: Determine whether the equation is true or false: ln e = 0. Where possible, show work to support your…

A: we have to determine whether the given statement is true or false. Statement: ln e =0

Q: (2² + 3) (3z – 4)* Use logarithmic differentiation to find the derivative of y =

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Q: find the derivative of y with respect to the givenindependent variable.73.y = log2 5u…

A: we have to find the derivative of y with respect to the given independent variable. (73) y=log25u…

Q: Find the derivative of the given exponential and logarithmic functio 11. y = e-2x²+1 12. A(x) =…

A: To find the derivative of the below functions. y=e−2x2+1 Ax=lnx2+1

Q: (x²+3)*/3(3x+2)² Vx+1 Find by logarithmic differentiation for y =

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Q: Y = logio (x? + 9) %3D

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Q: 4. Use logarithmic differentiation to find the derivative of each function a) y = x?r-1 b) y = (cos…

A: A):  y=x2x-1Taking log on both sideslog(y)=(2x-1)log(x)differentiating both…

Q: 2. Find the derivative of each function. Simplify your answers completely. In10 a) y= log 2a.

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Q: ソ= 9+8 e cos e dLinly))= ? Simplified dy = ? %3D de Simprified

A: Explanation of the answer is as follows

Q: Mce logarithmic differentiation to find dy dx (x-5)4

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Q: (x-3 x0t5)Y Sin(lgx) Sin(logx) %3D

A: Cauchy Euler second order differential equation Let us consider differential equation of the form:…

Q: Vx+2 Use logarithmic differentiation to find the derivative of the function. f(x)=- e (3x-1) i ora…

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Q: What is the relationship between the functions In r and e?

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Q: Find the derivative of f(x) = ln (x* /8 – 6x), using the properties of the logarithm. Provide vour…

A: We will find the derivative of the given function f(x)=lnx48-6x by using the properties of logarithm…

Q: 1. Find the derivative of the following: (Simplify your final answers.) sech h. j(r) = e (Using…

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Q: Use logarithmic differentiation to find the derivative of the following functions (y ′ ). Hint: Take…

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Q: Find the derivative of the function. y = log10(9x)

A: Given,           The function is y=log109x .

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: 8. y = log x-1 x+1

A: Let's find second derivative of given function.

Q: Cosh sec (3* Find (y')(3**) -X+1 y = log, 3

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Q: (10) Use logarithmic differentiations to find the derivative of (За? — 2)5 (2x35)7(41)-11 y

A: The given function is

Q: 3. Find the derivative of the following functions using the definition of the sine and cosine…

A: In the question it is asked to calculate the derivative of f(x)=cos(x)sin(x) using the definition of…

Q: Find the derivative of the function

A: Find the derivative of the function

Q: ((-x)³ cos (5æ) Find the derivative of f(x) = log, using the properties of logarithms. 4x + 10…

A: Let us reduce f(x) first by using the properties of logarithms.…

Q: Q5 Answer with all details, By using Logarithmic find the 3 x(x-2)sinx derivative of y = (x2+1)Vsecx

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Q: хр 8- X 8 + X Find the derivative of y with respect to x. dy In 7 y 3 log 7 |3|

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Q: Pr. #2) Solve for y' = by logarithmic differentiation. e sinh(3x + 1) y = (2x + 1)4 5x –1

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Q: 7e e*²-sin(2x) sin(3x)sin(4x)

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Q: Find the derivative of the following exponential and logarithmic functions: (i) ecosx-sinx ii. In(3x…

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Q: Q5 Answer with all details, By using Logarithmic find the x(х-2)sinx derivative of y = (x2+1)vsecx

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Q: Find . Simplify your answers. dx Vx2-3 sin x 7. у 3 (Use logarithmic differentiation) sec-1x

A: Given that value of y and we find derivative of dy/dx using logrithms. Here i attached solution of…

Q: find the second derivative and simplify the final result 8. y= log [the square root of (x-1)/(x+1)]

A: We need to find the second derivative of y=logx-1x+1 We will use the chain rule to find the…

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

A: Please see the solution below

Q: Find the derivative of Log(22³). 1/22 3/z 2/z

A: Given problem is  : ddzln2z3

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos*…

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Q: (3x – 5)6 2. Use the three-step logarithmic differentiation procedure to find the derivative of…

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Q: 7x5 cos x Use logarithmic differentiation to find the derivative y 2 (x-1)3ex+1

A: Given that       y = 7x5cosx/(x-1)2/3ex+1 Here we have to find the derivative of y by using the…

Q: Find the first derivative y = [ x1/3 (x-5)1/5]/ (3x+7)9      Use logarithmic differentiation

A: Given, y = [ x1/3 (x-5)1/5]/ (3x+7)9     -i) To find: 1st derivative by using logarithmic…

Q: Q(2) Find the derivative of loge[cosh(x)]

A: Derivative of a function