(v) y = log10(3x² – 5)

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

A: Answer

Q: 3.) y = log2 – 6·x³

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

Q: 5

A:

Q: Find the derivative of the function.

A: We know that, logbx=y if and only if, x=by. Also, logbxn=nlogx

Q: Find the derivative of function. y = log(2x)

A: A composite function is differentiated as follows: ddxfgx=f'gx·g'x

Q: Find the derivative of the function h(x) = log5 (x/x − 1)

A:

Q: (4) Use logarithmic differentiation to find the derivative of the following function. y = x¹/x

A:

Q: Find the derivative, if y3 (log x)* + y = (log x)* +(sinx) -1

A:

Q: Find the derivative of the logarithmic function. 6 + y = In

A:

Q: Find the derivative, if y = (log x)" +(sin x)™* -x %3D

A:

Q: Find the derivative of the function. y = log 4 V3x +2

A: The Answer is Option A

Q: Find the derivative of the function.

A: Given: f(x)=log2x2x-1

Q: Find the derivative of the function y = log4 (6x + 1)

A: Given information: y=log46x+1 Log rule: logab=lnblna

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

A: Given function

Q: Find the derivative of the function

A:

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: y = (cos(x²))*

A:

Q: Find an equation of the tangent line to the graph of the function y = log10 2x, at the given point…

A: Given:y=log10 2x  through the given point 5, 1Equation of tangent line:y-y1=mx-x1Slope:dydx=f'x=m

Q: Calculate the derivative. 1 y = log 5x y' =0

A:

Q: Find the derivative of the following function. f (x) = log; 8x

A:

Q: find the derivative of y with respect to the givenindependent variable. y = log2 r . log4r

A: Recall the properties of logarithms:

Q: Find the derivative of the function f(x) = log23√(2x + 1)

A: To find derivative of fx=log22x+13

Q: What is the Derivative of the function; y = log10(1 − 4 tan x)

A:

Q: Calculate the derivative of the following function. y = log 11(x-11) d. dx log 11(x- 11) =

A:

Q: Q3) Apply the logarithmic differentiation to find the derivatives of: x+1 y=(sinx-x)**

A:

Q: (d) y = xnz²

A:

Q: The third derivative of the function is y = log 2x3

A: We can find the answer as below

Q: Calculate the derivative of the following function. y = 8 log 2 (x² - 3)

A: Given, To evaluate,

Q: Calculate the derivative. 3 y = log 3X y' =D

A:

Q: Calculate the derivative of the following function. y=2 log5 (x -3) 2 log5 (x-3) = (²-3) =] dx

A:

Q: calculate the derivative of the following function. [ln(x^8)]^3

A:

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

A:

Q: Find the derivatives of the functions y = log2 (x2/2)

A: Given that y=log2(x22)

Q: The derivative of the function y = cos(x In 3) log3(sin x) is:

A: Given,            y=cosxln3log3sinxTo find : The derivative of the given function.

Q: Find the derivative of the function y = log5 √(x2 − 1 )

A: Here given function as y=log5x2-1 or y=log x2-1log 5 The power rule for derivatives is expressed as…

Q: Calculate the derivative of the following function. y=6 log 3 (x - 9) d 6 log 3 (x - 9) =D dx

A: d/dx [ f(x) ] = 1/ f(x) * d/dx[f(x)]

Q: 2. Use logarithmic differentiation to find dy/dx. ソミx

A: find the derivative

Q: Find the derivative of the following functions and simply it whenever possible. 2. y = log√(2x+5)

A: Given: y=log2x+5   As we know that; The Power law; ddxxn=nxn-1 The Chain rule; fgx'=f'gx·g'x And…

Q: find the derivative of y with respect to the givenindependent variable. y = log3 r.log9r

A:

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

A:

Q: Compute the derivative of the given function. log3 x f (x) = %3D cot x - 2x2

A:

Q: Find the derivative of the function

A: given h(x)=log3xx-12we have to find the derivative of the given function

Q: 3. Find the derivative of (x² + 3) (3x – 3)² Y = Vrez+1 Hint: Use logarithmic differentiation!

A:

Q: XV X-+9

A:

Q: 2. Find the derivatives of the following functions. a) y = (log2 x)3¬*

A: Given information: The function is y=log2x3-x. Calculation: Find the derivative of the function. Use…

Q: 2x+3) 17. f(x) =- (x² +1)*

A: topic - logarithmic differentiation

Q: Find the anti-derivative of g'(x)= log1/2(X)

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