Find y'". 8. 69 y x +6x y"=D

Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx =…

Q: Determine the first derivative of the ff. function dz y = e? sin x + In x (arcsin z) with dx 4

A: Determine the first derivative of the function                   y=ez sin x + ln x (arcsin z)  With…

Q: What is the rate of change of y = ln x at x = 10?

A: To find the rate of change we have to find dy/dx

Q: Find the approximate value of √0.95 using differential

A:

Q: Find dy/dx by implicit differentia exly = 7x – y y' =

A: Quotient Rule of differentiation : ddxuv = v.dudx -u.dvdxv2 dexdx=ex dxndx=n.xn-1

Q: se implicit differentiaion to find dy/dx for the curve below. 1. xy3 + 4x2 = tan y2 + 3

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Q: Find Dxy for y = sinh-'(x5)

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Q: (8) dx Compared to I dx x In|x| Conterges or Diverges

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Q: Find the exact length of the curve. Y=(1/4)x2-1/2 ln(x), 1 less than or equal to X less than or…

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Q: dy Find of y=: dx InIn2r

A: We need to find derivative of y.

Q: What is the average rate of change of y = cos (2x) on the interval [0,π/2]

A: Given f(x)= y=cos (2x) to find the average rate of change over the interval (0,pi/2) average rate of…

Q: 9) Find the equation of the tangent to the curve y = 1+ Int and x=t+Int when t = 2.

A: Given problem:- Find the equation of the tangent to the curve y = 1 + lnt and x=t+Int when t = 2 .

Q: arctan x Xe fel Xaresecx d

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: d VE evedt dx d -S Intdt dx 1

A:

Q: solve for dy/dx :  arcsin (x/y) + arccos(y/x) = 5

A:

Q: Find the length of the curve y=ln(sec(x)), 0≤x≤π/4.

A: please see the explanation below

Q: Differentiate. In x y= 11 y3D dx

A:

Q: 6.) y'of y = Insin(arctan 3x)

A: This is a basic differentiation question

Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: Ssin x CosX dx 6x dx

A:

Q: Find dy if y = tanh-1(5x²) csch¬'(In x). dx

A: Given: y=tanh-1(5x2)csch-1(lnx)To find:dydx=

Q: Area between curves y=e^5x y=e^3x x=1

A:

Q: 5. Find the rate of change of the distance D between the origin and a moving point on the graph dx…

A: Given: y=x2+7 then A moving point on the graph is: (x,y)=(x,x2+7) And dxdt=8 cm/sec We have to find…

Q: 6° Szx dx t yay where L cs parabol y=-x(x-) arc

A:

Q: find dy / dx for Hhe tellowing in (sec EX) In (cosp?}

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Q: Differentiate. Inx y= 3 dy dx

A:

Q: (5) Find the derivative dy/dx, where: 4 1 -1 y=- y = cosec(cot3x), y=Vsinh¯3x 3 1+ cos° x

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the derivative of y(x) = In (9(ln(x))’). (Use symbolic notation and fractions where needed.) dy…

A: To find the derivative of yx=ln9lnx7.

Q: hy's mea x) = eX

A:

Q: A particle moves along the curve y = x3/2in the first quadrant in such a way that its distance from…

A: Let w de the distance between origin and the particle at any time t. Given that, dwdt=11 Now by…

Q: 2. Jx sinh x2 dx

A: ∫x sinh x2 dx

Q: (a) Find thne derivative. y = In(4x – 6) – 3 In(x) dy dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the second derivative y “ of " of y = 5z +sin zcosz

A:

Q: If y = 4 tanh x + sinh 2x, what is the slope of the curve when x = 2? Assume h = 0.5 and 0.01;…

A:

Q: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

Q: Find the derivative. 8 + e y = In 8 + et 8 - ex.

A: Given,          y=ln8+ex8-ex

Q: Find the equation of the tangent line to the curve y = ln(4 ln x) at the point where x = e. %3D

A: It can be solved using differentiation.

Q: Find (dy/dx) if y²-x?- sinxy =0

A:

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 2. Y= 2 Arccos (1-)+ v4x – x?

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Q: 2 S Sec'x In cotx) dx (

A: We will solve the problem.

Q: dy Differentiate implicitly to find dx exy 2x+9y+3

A:

Q: Differentiate. y=de* +6 dx

A: Given y=ex+6

Q: ind the second derivative in its simplified form 2. y= 4 Arccos x/2 +2 square root of 4-x^2

A: Given, y=4arccosx2+24-x2

Q: Find the derivative of the function y, below. y = 2x(ln x + In 7) – 2x + V2 dy da

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Q: Differentiate. y = In (7x + 8) In (8x + 5) dy dx II

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Q: y = In(x +1)

A: Given that : y = ln(x2 + 1). Find dy/dx  We know that derivative of - d(lnx)/dx = 1/x. And d(xn)/dx=…

Q: Find dy/dx of sin^2(3y)=x+y at (2 - pi)/4 , pi/4

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Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

A:

Q: dy by implicit differentiation if sec(xy) = 6y. dx Find

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Q: Find y'+dy/dx for x^2+3x+1 Find Tangent Line  with x=-1

A: