Vx²-1•sin x y%3= %3D (2x+3)4

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

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

Q: d Use logarithmic differentiation to find- dx ソ=x

A:

Q: 3.) y = log2 – 6·x³

A: Explanation: Given that,  y=log2(-6x3)

Q: Differentiate y = /sin(x² + 3)cosx

A:

Q: (14) Use log differentiation to find the derivative of the function. Y = (sin (7x))*

A: Here, the given function is: y=(sin(7x))x Taking logarithm on both sides, we have: ln y=ln(sin(7x))x…

Q: 5

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Q: Use logarithmic differentiation y = xx−1  to find dy/dx.

A: Applying natural logarithm on both sides, we get

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

A:

Q: Show that S log(sin x) dx = -log 2.

A: To show that ∫01logsinπxdx=-log2 using the given figure.

Q: Express in terms of logarithms of x, y, z, or w.

A: Given :            loga y5 w2x4 z3  To express loga y5 w2x4 z3 in terms of logarithms of x, y, z…

Q: Use logarithmic function to find dy/dx, if y=(x^2+5)^sin (2x)

A:

Q: Find F'(x) if F(x)= e^(-x^2) * x^(sin(x^3)) Use logarithmic differentiation

A: topic - logarithmic differentiation

Q: -3 sec-(VI) y = 4"(log, r)sech z

A: Given y=-3sec-1x4xlog2xsechx To find dydx

Q: y =_rV(2r-x) (х-2)(3х+5)

A: Given :

Q: Find the first derivative:  y=log1o 5x+3/5x-4

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

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Q: Differentiate the following functions: 1. y = tan(log25x) + x. log3(sec x) 2. logyx = logxy %3D

A: We havey=tanlog2 5x +x.log3 (sec x)Let  u=tanlog2 5x     and    v=x.log3 (sec x)Now y=u+vdiff.…

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

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Q: y = (cos(x²))* -2 Co:

A:

Q: dy Use the properties of logarithms to help perform dx COs x y = ln 3 – 5x2 - dy dx ||

A: As we know that ddxlnx=1x

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

A:

Q: 'x + 2 3. -dx x + 1

A: To integrate: ∫x+2x+1dx Solution: Evaluating the integral.…

Q: Differentiate implicitly to find y' log3 (x). tan cy+ 1) = y2 %3D

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Q: 1 (log, x)' 3x ise b =?

A:

Q: Find the derivative. y= log (9x) y' =

A: It is required to find the derivative of: y=log(9x)

Q: What is the first derivative of q(x)=(3x)7x at x=2?  Enter an exact answer in terms of a natural…

A: When there is variables in exponent we should take log both side then differentiate. Here we use…

Q: cos e Differentiate y =- using Logarithmic differentitation. nxV2x +1

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Q: 2. y=cot1-2x 3. y=log22x*

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Q: Find d/dx(2x) Type ln(x) for the natural logarithmic function.

A: Given query is to find the derivative of 2x.

Q: Find d/dx(2^x) Type ln(x) for the natural logarithmic function.

A:

Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

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Q: y=10x log10 X differentiate?

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Q: Find the derivative d (2* log2 x) dx

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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: i need to find the derivative using logarithmic differentiation

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Q: Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0). y…

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Q: X In Зх +1 y y' X

A: Given ; ln(x2/(3x+1))=y/x.

Q: y = (x+6)(x+8)® (x+3)³(x+5)5 Differentiate using Logarithmic Differentiation

A:

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

A:

Q: Use logarithmic differentiation to find dy/dx for the given equation. y=x2sinx

A: Given that value of y and we find its derivative with respect to x . Here i attached solution of…

Q: Differentiate. y = 12* • log 6x d x (12*- log ex) = D 6x) = [ %3D dx

A:

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: differentiation

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Q: Find d/dx(4^x). Type ln(x) for the natural logarithm function.

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Q: 1+logx 2. =D1. %3D 1. 196 16. Solve for x, 5-log:

A: We have to solve for x .

Q: Find dy dx given (х* + 3x — 1)° /1 – 3x³ y , by using property of logarithms.

A:

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: Find the higher-order derivative. (4 log 2(x – 5)) dx2

A: Given, d2dx24 log2x-5