Differentiate. y= log 7x dx log 7x=

Q: 4x (log3 x)° (csc5 x) Vsinh(2x – 8) b. y= -

A:

Q: Find y' of y = log5(4x + 3)

A: Given that

Q: Which function will have the fastest decrease in they-values?A. y = -1/3 logx 8. y =-2 logxC. y…

A:

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: 3 1. y = logVV12x %3D

A: 1. Given function is y=log12x3. Solution: We know that, logab=b loga Given function can be…

Q: Differentiate the Logarithmic function: y = 3 ln square root of x

A:

Q: solve: loga (4x+4)= log₂ (-7x+19) = X= AS lenter DNE if no rolution)

A: topic - logarithmic equations

Q: Differentiate. y = log 5 (1 + 2x)

A:

Q: (8) y = x³ log3x, find y' %3D

A:

Q: use logarith mic diffavehtiation to find y) Sinx

A: Given, y=cos2xsinx To find y'.

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: Differentiate: 4. y = 6* log7 x

A:

Q: y = v4x + 3 log2(x² + 2)

A: Given query is to find the derivative of the expression.

Q: y = (cos(x²))* -2 Co:

A:

Q: Differentiate y = log (x² + 1)²

A: topic - derivative of a function

Q: Evaluateſ dx xlogxlog(logx)log [log(logx)]

A:

Q: Express log (x + 1)³ – 2log (x + 1) + 3 log (x – 1)²– log (x³ – 1) as a single logarithm

A: Logarithmic equation: A logarithmic equation is an equation involving the logarithm of an expression…

Q: Express sinh-1 x in terms of logarithms.

A: Let  y=sinh-1x⇒x=sinhy

Q: Differentiate. y= 11* . log 7x dx (11*. log 7x) =O

A: Given that

Q: Calculate y' if y = 4 log(x³e*)

A: Here, the given function is: y=4log (x3ex)  =4log x3+log ex  =43log x+x log e  =12log x+(4log e)x

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

A:

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

A:

Q: log 10x dx

A:

Q: Use logarithmic properties to write in simpler form. In xy In xy =

A:

Q: S (log æ + – 5x) dx =?

A:

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: Differentiate: 3. y = log₂ (x¹ - x)

A: y = log9(x4 -x) here logerithmic function is given  dlogax/dx = 1/x(lna) use this formula and chain…

Q: 2. Evaluate sin2x logtanx dx

A: Use the property of the definite integral and simply solve it.

Q: If logx = 4 and logy =7, then the value of -log is %3D xy

A: Given, logx = 4  and  logy = 7 We have to find the value of  -log1xy.

Q: Evaluate : [ vx° +1} log (x + 1) - 6 logx dx.

A:

Q: y=10x log10 X differentiate?

A:

Q: Differentiate. y =9* . log 7x (g*. log 7×) • log 7× dx

A:

Q: when expressed as a single logarithm: ln(y + 2) - (2ln6 + ln x) becomes

A: We make the coefficient into an exponent

Q: y = log2vx

A: Given, y=log2x

Q: Differentiate. dx y=9* • log 5x (9* • log 5x) =

A: To Differentiate :  Given function  y = 9x  log5 x  with respect to x Following  formulas will be…

Q: 4) Find x: logx = 0 !x:1

A: Log a with base c=b......(logarithm form) a=c^b.....(exponential form)

Q: Differentiate. y = log 4X d. dx 1og 4x =

A:

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

A:

Q: what is intergral log x /x

A: WE HAVE TO INTEGRATE

Q: Differentiate. y = 10 log 3X %3D d dx (10*. log 3x) =D • log

A:

Q: Differentiate y=3*log*

A:

Q: Differentiate y = - using Logarithmic differentitation. A x2x' +1

A: Given;  y=ecosx^2/[pi x sqrt(2x3+1)].

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

A: Given: log4z3

Q: Evaluate / x. sec² 2x. dx. x.tan2x + + ilog(sec2x) + C 2 O log(sec2x) + C O None xan - log(sec2x) +…

A:

Q: what is the natural logarithm of 1/exy?

A:

Q: Differentiate. 10) y = 7X 11) y = 14-X 12) y = log4(2x)

A: