Find the indicated derivative and simplify. log 5x y' for y = 4+x5

Q: 3.) y = log2 – 6·x³

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

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

A: dydx=ddx e(lnx)2        =e(lnx)2 ddx2(ln x)         =e(lnx)2 2x

Q: Find the derivative of the following: y = ln( x^5 + 7) ^ 4pi

A:

Q: 5

A:

Q: Find the derivative of function.

A: To find the derivative of the given function                                                y=log…

Q: find the derivative using logarithm of y= (x+2)^2

A: Take ln on both sides Then differentiate both sides with respect to x

Q: Find the derivative. y= 5x e -x

A: Given :             y = 5x2e-x To Find :                  To find the derivative

Q: Find the derivative. y= log (8x) y =0

A: The given equation is: y=log(8x)Let,   8x=ty=logt

Q: y = log v2x + 5

A: i have provided this answer with full description in step-2.

Q: y = ln 1-x² 1+x²

A:

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

A:

Q: Compute the derivative in terms of log for y=log(xe^(-3x))

A:

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

A:

Q: Use the logarithmic differentiation to find the derivative of the function. y= (sin(2x))^ln(x)

A: Topic- Differentiation

Q: Find the derivative of the function g(x) = log3 √(1 − x)

A:

Q: ア=e y =,

A:

Q: Find the derivative. y = (ln x)2

A:

Q: find the derivative. y = ln(t5t )

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 y = log4 (6x + 1)

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

Q: Find the derivative of y with respect to the independent variable. x8)n 5) y =log 5 x-8

A: using the fact of logarithmic  logax=lnxln(a) find the derivative

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

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

Q: Find the derivative of each function y = ln (1 + x3)

A: The given function is y=ln1+x3

Q: y = √√2x + 7

A:

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

A: Recall the properties of logarithms:

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

A:

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

A: We can find the answer as below

Q: y = log,(4x - 8x)

A:

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 and use logarithm rules to simplify   g(x) = ln((x^3 + 2x)(x+1)^10)

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 derivative using logarithmic differentiation. x(x+4) (5x + 1)(3x +7) y =

A:

Q: Calculate the derivative of this following functions: i. log,,(x* – 7) ii. ecos2x

A: Given

Q: (b) Find the derivative of y = log,(5x')+log, (sin.x)

A:

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

A:

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: Find the derivative of the function

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

Q: ミr

A:

Q: XV X-+9

A:

Q: Find the derivative of each function.y = ln |5x|

A: Given- y=ln5x To find- The derivatiove of the above expression.

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

A: Given,            y=elnx3

Q: 2x+3) 17. f(x) =- (x² +1)*

A: topic - logarithmic differentiation

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

A: Given, d2dx24 log2x-5

Q: Find the equation of the tangent line to the curve y = log(x2-3x+1) at the point (3,0)

A: