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

Q: Find the dervative: -1 y = sinh 2 dy dx

A: I have stated the used formulas in the solution

Q: d sinh x) = cosh x dx

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

Q: Q3) Find dy/dx if 1- y= In x 2- y=x sinx+1-x

A:

Q: Can you help me step by step?

A: The given function is,

Q: (2y-1 + cos 3z) 분. 4x3 + 3y sin 3x = 0 (1)

A: We know that if - M(dy/dx)+N=0 Then M(dy/dx)= -N Therefore- dy/dx= -(N/M)

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

A:

Q: Solve dx dy for y= sec (In x) In (tan x)

A:

Q: Q: If In/x² + y2 =sec(), use implicit differential to proof the following dy _ -x(x²+y²). sec. tan?…

A:

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

A:

Q: dy/dx of y = (x^2)cos^4(x)

A:

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: sinh (:) dz dy dx

A:

Q: Find if y = e* In(sinh x) 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: 1) ſ y³ sin(2y) dy

A: As per our guidelines we are supposed to answer one question , kindly repost the remaining questions…

Q: 9. Find dy/dx by implicit differentiation of y? = In(x), at (e36,6).

A:

Q: 5. 2x sinh+ 3y cosh2) dx -- 3x cosh dy = 0

A:

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

A:

Q: Find dy/dx for y = 3l(sin-(e-3**)12 dy 3(sin"(e-*)* In3 2(sin-"(e-3x*)- dx 1(-6х) V1-e-6x2

A:

Q: -TL 4.) x² sin(xy) dydx

A: Given ∫0π∫01x2sinxydydx

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

A:

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

A:

Q: dy In(5x + 5) Find for y = - dx 3e2x dy dx

A: Given, y=ln(5x+5)3e2x

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

A:

Q: 4. ox x cost at cost of 3 procuct nule J cost dt + cost at [sint] + x CSLX)ま(x) = Sin x - 0 + x cos…

A: To determine ddx∫0x3 x cos t dt.

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

A: I have stated the used formulas in the solution

Q: ey sin x = x + xY %3D

A: Solution:- The given implicit function is  ey sinx=x+xy

Q: 11. Find dy/dx of In(x² + y²) + 2 arctan

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 4. sinh(z²) dz dy dx

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

Q: Find dy/dx 1. y = sin ( 5x - 9) 2. y = sin-4x/5

A:

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: Whatis the derivative of y = sin (2x − 1)? dx = 2 cos (2x - 1) dy dx = cos 2x dy -2 cos (2x - 1) cos…

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Q: Find complementary function and particular integral of d²y - y = xe* + cos² x dx2

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

A:

Q: 8) S(eax - e-ax) dx 9) S; sinh x dx 1+cosh x

A: Answer to question number 8 and 9 are as below,

Q: 2) / vĩ IneF dx dx etan x dt dx dx 3) 1- sin?x 4) t In vt 5) J Jx (1 + x)

A: Here, we need to find the value of the integration  1) ∫x+35xdx 2) ∫xlnexdx 3) ∫etan(x)1-sin2xdx

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

A:

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

A:

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)

A:

Q: Find dy/dx for the following : 1) y = x + sin x² + stn-! 5x 2) y = 32x + In (stn x²) + In(sin-1 5x)…

A:

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

A:

Q: 4) [ sinh 2xdx 5) [ e* sin e"dx 6) fcosh'vdv

A: Given:  4) ∫0π2 sinh(2x)dx5) ∫ln(π)2exsinexdx6) ∫cosh2vdv

Q: 3) [ - cos dydx X X In 8 In y 4) S S e**y dxdy

A: (3) we have to evaluate ∫π2π∫0x21xcosyxdydx let  u =yx ⇒dudy=ddyyx         =1xddyy=1x⇒du = 1xdy…

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

A:

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

A:

Q: 10. Find dy/dx of y= 1/ (tan-1 x)

A: