(c) Given tanh (x) + tanh (y) = 1, show that, dy 1- y? dx 1- x2

Q: 2x -1 If y-f and .1 + 'א. dy f'(x) - sinx".find - dx

A: NOTE: Refresh your page if you can't see any equations. . now substitute

Q: Find dy/dx in terms of x and y if x = 10√/y. X

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Q: y = | cosx + x² dx

A: Use the basic concept of integration and solve the indefinite integral.

Q: y = sech 0 (1- In sech 0)

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Q: 2- Find dy/dx for y = In(tan(2x²))

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Q: Find the derivative of y = In (tanh x).

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Q: (cosh ar +h)dr

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Q: 3. tan x dx

A: Formula: tan2x=sec2x-1

Q: tan dy| 2 Find dxlx=7 for the equation y = (Vx + 1) 2.

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Q: 3. (D² + 1)y = sec² x tan x. %3D

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Q: Evaluate dy/dx if y = (sec2x - tan2x)/(2cos2x-1)

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Q: dy Exc:" of y = tanh (x5 – 5x)² --

A: Solution:Given         y=tanh4(x5-5x)2  To find dydxFormula:ddx(xn)=nxn-1ddx(tanh x)=sech2x

Q: dr Find if r (x) = 9x 2 + 5x – 3. dx

A: Given,            r(x) = 9x2 + 5x - 3

Q: 2 tan-1(x)dx =

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Q: 1: Find the derivatives of: 1+ tanh x a) y = In ソ= %3D 1- tanh x b) 2 y= cosh? 1-x? 1-x

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Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

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Q: a²z Find dx² for z = for Z = y tan(8x)

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Q: Find the value of dy/dx if x = t2/(5+t)  and y= sqrt (5+t2)

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Q: c) Let y be a function of x such that (y+1)° = 3sec²(2x)-e". dy Find by using implicit…

A: The given function is y+12=3sec22x-exy.

Q: dy Find if y=(3x+1)². dx

A: given  y=(3x+1)2 formula of derivatives→(i) d dx(xn)=nxn-1(ii)  d dx(constant)=0

Q: Use implicit differentiation to determine an expression for dy dx if y√x+1 =

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