y = log (4x°)

Q: r cos? TI Using the properties of the natural logarithmic function, expand In Vr? +1

A:

Q: Find the following derivatives. (a) y = log;(re")

A:

Q: The problrm is to Find the indicated derivatives.

A: (a) The given function is ,

Q: . Use logarithmic differentiation to find y'(0) if y = Vcos3 r V5+

A:

Q: Differentiate the following function.   y =  ln -2x + 1

A: Given function is y=ln-2x+1. To differentiate the given function. Solution: Chain rule of…

Q: Find the function of the form y = log,(x) whose graph is given. %3D y = y 2- -가 1/4,-1) 2.

A: Given: Provided graph is:

Q: In the given question , use logarithmic differentiation to find dy/dx:- y =x2/x

A: Given: y=x2x Now, To find the derivative of the given function differentiate with respect to x we…

Q: If f(x)= x 8/ ex (x−1), find f′(x) using logarithmic differentiation.

A: To find the derivatice of the given function using logarithmic differentiation

Q: Use logarithmic differentiation to differentiate the following function. f(x) = (x + 8)* (7× – 6)³

A: f(x)=(x+8)4(7x-6)3 y=(x+8)4(7x-6)3taking log on both…

Q: Use logarithmic differentiation to find the derivative of the following function: y = (x - 1 / x4 +…

A: Apply ln on both sides and simplify using properties of logarithm.

Q: Differentiate the following functions using logarithmic differentiation. 1. y = (2x + 1)š(3x – 4)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use logarithmic differentiation to find the derivative of the following: a. y = √((x-1)/(x3+1)) b.…

A:

Q: Q:: Find for the following functions: - dx 2) y = (Inx + x)tan(x) (By use logarithm)

A:

Q: Differentiate the following using logarithmic differentiation. 1. у%3D (x+6)(x+8)8 (r+3)3(r+5)s

A:

Q: Differentiate g (†) = 4 log, ( t ) – In ( t )

A: Given g(t)= 4log3(t)-ln(t) Now we have to differentiate g(t) as shown below

Q: y = log (esin =)

A:

Q: Find the function of the form y = loga x whose graph is given.

A: Let the function of the form y=logax Given graph:

Q: Determine y′(x) if y(x)=(4x^3+6)^sinx.  Enter an exact answer in terms of a natural logarithm.

A:

Q: Use logarithmic differentiation to determine y' for the equation y = V(4x – 5)(x – 3)(2x + 5). Write…

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Q: In the given question , use logarithmic differentiation to find dy/dx.   y = (1 - x)1/x

A: Consider: y=1-x1/x. Calculate dydx. Take logarithm both sides and apply property: log ab=blog a. log…

Q: what point is on the graph of a function f cwith equation f(x)= log, x regardless of the value of b?

A:

Q: . Find the domain of the following functions: m (1) y=log (16-x²); (2) y = arcsin x+; (3) y = x-3…

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: Find the derivative of each of the following functions:-- log₂ x 2. y= X

A:

Q: Find the equation of the line tangent to the graph of y when x 36. %3D log

A: Given y=xlog6x when x=36

Q: Use logarithmic differentiation to find the derivative of the function y = xe" (x2 8)10

A: Given:

Q: find the deliva tiva dy for the function by using logarithmic

A: Derivative.

Q: Find a so that the graph of y = logax passes through the point (e , 2).

A: Given,

Q: Evaluate: dx (x+1) log(x+1)

A:

Q: Deduce the relationship between y and x from the graph shown. log(y) 3.7 0.7 log(x)

A: The general equation of a line in two-point form is: where x and y are variables of horizontal and…

Q: A Disguised Form of the log Rule, Find

A:

Q: Use a calculator to evaluate f(288) where f (x) log, (x). Please round your answer to two decimal…

A: Simplification

Q: Sind dx/dy if ys log Vitx? 14

A: Given: y=logx1+x2+logx1-x214. So,         dydx=ddxlogx1+x2+logx1-x214…

Q: "Determine whether each of the following statements is true orfalse, and explain why: The derivative…

A: The given statement is false. Explain: Let y=logax rewrite the equation where a is any positive…

Q: y = ln (xm=)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use logarithmic differentiation to differentiate the following fund f(x) = e*(6x – 1)8 f'(x) =

A:

Q: Use logarithmic differentiation to find y'. y = (x^3 − 2)^5(x^2 + 6)^4

A: See below the answer

Q: Differentiate the function.

A: To Determine: differentiate y=log2e-xcosπx Given: we have a function y=log2e-xcosπx Explanation: we…

Q: dy Find , given y = log3 dx 10- x 2x5

A: Given y=log310-x2x5⇒y=log3e · loge10-x2x5      Using the property: logab=logac·logcb

Q: Differentiate the function T(z) = 2z log2 z.

A: The given function is,

Q: y = Arccos (logx); y' = * %3D

A:

Q: Find the graph of the function f(x) = log, (r+ 1) +2

A:

Q: 12. Determine the y-intercept of the function y=log, (x+81).

A:

Q: Sind dix/dy ifLys loge vitx? 4.

A:

Q: Use logarithmic differentiation to determine y' for the equation y = V(10x – 3)(x – 4)(2x + 5).…

A: Given , y=10x-3x-42x+53             y=10x-3x-42x+513 Taking log on both sides for 'y'…

Q: Differentiate the following functions using logarithmic differentiation. 1. y = (2x + 1) (3x – 4)…

A: The given differential equation is y=4x-1 x+2x-523. Take ln both sides and simplify as follows. ln…

Q: Find the derivative of each function.y = log x

A: We have to find the value of y= log x We shall use the definitions of ddxf(x)=limh→0f(x+h)-f(x)h.…