2.Find , if y = sinh x %3D dx' 1+cosh x

Q: a if y = In (sinh 50) and x = 7. cosh 40

A: We have given y and x and we have to find out dy/dx

Q: 7. Find the dy/dx of * y = In sin 5x

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Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

Q: d sinh x) = cosh x dx

A: By using hyperbolic functions definition, sinhx =ex-e-x2   and coshx =ex+e-x2

Q: Evaluate / x cos(128x)dx. Use capital C for your constant of integration.

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Q: 3. find dy/dx of y= sinh 2x

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Q: Evalualte! dx cosX x+ メ+ 1

A: Given:

Q: e (sinh x dx + cosh x dy) = 0

A:

Q: Suppose x4 e−4y = ln (xy).Find dy/dx by implicit differentiation.

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Q: Find dy/dx by implicit differentiation. 6sin x + cos y = sin x cos y

A: Given,            6 sin(x) + cos(y) = sin(x) cos(y)

Q: 1. еat sin mx dx 0. 8.

A: Given data: The given integral is I=∫0∞eatsin mxdx. The given integral can be written as,…

Q: 2. Find dy/dx by implicit differentiation: 5x^2y+5y^2x=-3

A:

Q: Find dy/dx for y = 3[(sin-(e-3x*))2

A: Given,          y=3sin-1e-3x22

Q: sinh (:) dz dy dx

A:

Q: Find if y = e* In(sinh x) dx

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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: 1. S e sin 4x cos 4x dx 2. S dx Je-2x dx e 2x

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Q: Find for the following function: dx 1- y = log2 cosh(2x) 2- y = e(x*+1) 3- xy + x²y = 3 at x = 1 4-…

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Q: 1) Find dy/dx if : y = ln (tan¬1 x)

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Q: 5. Find where y = In(cosh(2x)) + /sinh-1(2x) + tanh² (7x). dy dx

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Q: S sin(3x + 2) cos(1 – 4x)dx

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Q: Compute dy/dx for the function. 5) y = In sinh 6x

A: topic- derivative of a function

Q: Find , if y = x sinh x - cosh x %3D dx

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Q: -Tsin(nx)cosh(3y) dx + 3cos(7x)sinh(3y) dy =0

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Q: 4- cosh x2 dy + (sinh x)y = e-* dx

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Q: 1) Find dy/dx if: y = ln (tanx)

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Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A: I have stated the used formulas in the solution

Q: Find dy/dx by implicit differentiation. (cos TX + sin ny)8 = 26 sin (7)x cos(7)y dy/dx =

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Q: 4. sinh(z²) dz dy dx

A: We need to solve the triple integration by re arranging the order.

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: lel sin(mx) sin(nx)dx=0 (a)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (g) y = Vtanh 3r (h) y= sinh(cosh 2.x)

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Q: 2.1 Given that 1 sinh x show that dy cosh a. dx

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Q: show that d/dx arctan (tanhx) = sech (2x)

A: On differentiation, we get

Q: Why is it that when implicitly differentiating for dy/dx where sinx+cosy=sinxcosy, only the…

A: We havesinx+cosy=sinxcosy

Q: -1 dy Find by implicit differentiation if x³ + 6x tany = ev. dx dy dx

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Q: 4. Differentiate y with respect to x. y = (In Vcosh3x)(sinh(2x + 1) ex+1)

A: The given function is: y=lncosh (3x)sinh-1(2x+1)

Q: How would I Find dy/dx implicitly 5xy + ln(x2y) = 9

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Q: 1) Find dy/dx if : y In (tan¬ x)

A: Given : y = lntan-1x

Q: find dy / dx for Hhe follo wing 2X y=3+ ln (sin x?)+In (sin 5x)

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Q: 2- Sin(x) dy dx ty Cosx Ex Sinh

A: As per our guidelines we are supposed to answer only one question and rest can be reposted Given:…

Q: 3- Coshx dy +ly sinh x +e) dx

A: We have to find the solution of differential equation

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

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Q: 1 dx cos² 2x 3. 4. x² sin (x³) dx S elnvx+1 dx 5.

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Q: Find dy/dx by implicit differentiation. (sin πx + cos πy)4 = 58

A: Given (sin πx+ cos πy)4=58 we find dydx

Q: S cos(2x + 1) sin(3 – 4x)dx

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Q: Find (dy/dx) for: tan-¹(x + y) + In(x³y) = sinh(y)

A: To find dydx for: tan-1x+y+lnx3y=πsinhy

Q: 1- Cosh x dy + (y sinh x +e*) dx =0

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Q: Cualuate the definle integial. x33 COs (xH) dx

A: