dy Find if y = log5u, where u = cos5x %3D dx dy = - 5tan5x dx dy = 5tan5x dx dy = -tan5x dx None

Q: 2 dy + (1 + log y) dx d?y (1– log y ) dx2

A:

Q: Find dy/dx of the function. y=log2 x

A: To find derivative of given function.

Q: Q1- Find dy / dx for the following functions : e0 -2 2.8ln2 Y= 4 * sinh 9x * Inxy sino 3 log2 2

A: It is given that:…

Q: Q1) Find for : dx 1) y = log3(3x3 + x²)² × In(sec-1 vVx) 2 – (x² + y)² + (x – y²)² = x³ + y³

A:

Q: If U, is a function whose fifth differences are constant and U, dx can be expressed in the fom pU…

A:

Q: find dy dx 3 1- %3= Xナメ+1

A:

Q: 7. Solve for dy/dx if x = 2 + t and y = 1 + t2

A: From the given problem: x=2+t;y=1+t2 As we know that the Power law: ddxxn=nxn-1 We know that:…

Q: (b) Solve : d²y - 3.x+5y= sin(log x) dx dy dx हल कीजिए dy 2dy- 3x+ dx Sy sin(log x) dx

A:

Q: Find  dy dx implicitly. ln(xy) + 6x = 70

A: The given function is: ln(xy)+6x=70

Q: 2. J T(x+1)((tan-1x)+9) 4. Zin10 log10 dx

A:

Q: dy log x If xY = ex-Y, prove that %3D dx (1+ logx)?

A: Introduction :

Q: dy 1. Use logarithmic differentiation to solve dx x'V7x-14 (1+x)* x +1 2. Evaluate the integral | dx…

A:

Q: Find dx y = 4 In x+9 log 4x dy (Type an exact answer.) dx

A: See the details solution in below

Q: dy Find for the following function: dx 1- y = etan'x 2- x³y + x²y = 2 at x = 2 3- y = log4(x³ – x)

A: Finding Derivatives by applying chain rule of derivative

Q: Find dy/dt for if : y = log2 (81'n 2)

A: We have to find the derivativedydtof y=log28tln2.

Q: dy._ y dx xlogx logx sin2x

A:

Q: In(r) Find dy/dx using the method of logarithmic differentiation when y = (4+ 2x²).

A:

Q: Find dy/dx ln(x+y)-cos2y-x^2=0

A: Revise this before doing the question:

Q: Q1- Find dy / dx for the following functions : el -2 2.8ln2 Y= 4 * sinh 9x * Inxy sino 3 log2 2

A:

Q: Determine dy/dx y = (In 2x) - (ln(3x + 1)) 1 3x²+x 3x 1 None of the choices 1 3x²-x

A:

Q: Find dx 1. y = log10 Vx 2. y = x*

A:

Q: dy Q1) Find dx for : 1) y = log3(3x3 + x2)2 x In(sec- x)

A: I supposed to do only first question as our company guideline. Please repost other question as next…

Q: dy 3 Find if y = x (log2(2³ – 52)* dx dy dx

A: see below the answer

Q: If e (3x + 2)e2* dy 3 4 using logarithmic differentiation. (b) show that +2 2.x-1 %3D (2x-1) dx 3x…

A:

Q: 4. y = log,(x* +3x² +1)

A: y = log(x4 +3x2 +1 ) here we use chain rule for differentiation dy/dx = (4x3 +6x )/(x4 +3x2 +1 )

Q: Q1- Find dy / dx for the following functions: -2 2.8ln2 eo Y= 4 5 sinh 9x * Inxy sino 3 log2 2

A:

Q: Find dy dx I-Ln(x+3)=tかが(x:)

A:

Q: dy for y =loge(l-Sin( 3x) Xア

A: We use chain rule to solve this differentiation

Q: dy If y = 10**-1, solve for dx dy = 2x(ln 10)10*²-1 dy = (In 10)10*²-1 dx dx Option 4 Option 1 dy =…

A:

Q: dy if y = log(In a). dx Find dy dx

A:

Q: Find So S 4:xy dx dy.

A: Evaluate the integral.

Q: Find dy dx 5. = sec ¹(log 7x) y =

A:

Q: dy if y = log(In x). dx Find dy dx ||

A:

Q: nd dy/dx using logarithmic differentiation y=4xx^4 y=(x2\sqrt{x4+5})/ex-x^4

A:

Q: Find dy/dx for following: 1- Y= sec\x 2- Y= 2Vx X 3- Y= log2 8

A: We can make it easier for you.

Q: Find dy/dx implicitly. 9xy + ln(x2y) = 7

A: The objective is to find dy/dx implicitly.

Q: find dy/dx by implicit differentiation. x8y+xy8=9

A: Given equation is x8y+xy8=9 We need to find dydx using implicit differentiation.

Q: Compute dy/dx for y = log3 x

A: Our Aim is to calculate dydx for the function given below:-y=log3(x) -(i)

Q: Find dy using logarithnic dufferentiation dx Sinx Cosx tan?x 2-y=

A: Find dy/dx using logarithmic differentiation  Given y = x³√(1+x²)

Q: (メ2メ+Sx )dx h- Cos3x dk 120 x3-XSinx+ CusX dx C. 130 x41 (2メーリdy

A: As per our policy, I can only provide you solution for first three parts, but part (c) is not clear…

Q: dy Q1) Find for: dx 1) y = log3(3x3 +x?)² x In(sec-1 Vx) 2- (x2 + y)? + (x – y²)² = x³ + y3

A:

Q: dy Find dx 5 if y = x(log2(a - 7x)) dy dx ||

A:

Q: dy Find Y dx (x- 2) - (2x+1)4 if y= | Use logarithmic differentiation. x=0 e2x. Vx+8

A:

Q: Find dx/dy. y = log (x sin x)

A: Find dx/dy. y = log (x sin x)

Q: dy Find dx by logarithmic differentiation. e2x – 1 y = In e2x + 1

A:

Q: 4. y= log1,(x* +3x² +1) %3|

A: Given: y=log10x4+3x2+1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x…

Q: Find dy/dx for ln(xy) + e2y - 5x = 30

A: Given: lnxy+e2y-5x=30

Q: dy Find dx if y = « (log2(x* – 4x)) - dy dx

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: