S 1 C=S²x + Sin'x

Q: 1 -dx = /8-(2x+5)² o įsin- (2*) 2x+5 + c V8 2x+5 sin-1 + c 8, tan- ( V8 2x+5 + c o ţtan" (2*5 ) + c…

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Q: Find y ' if sin (x+ y ) = y 2   cos x

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Q: x+(1/x)=2 cos theta , then show that x2+(1/x2 )=2 cos2 theta

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Q: Q2/ if y = Jsec3 /sin+Vx+ x² 4. find y'

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Q: d csc 'x dx -1 Prove that xVx? – 1 2.

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Q: (sin' x. cos' x dx

A: here given as Consider sinx=t thus cos x dx= dt Thus

Q: find y'. (show all the steps please) cos(xy) = x-y^2

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Q: (a) [- 9x2 +x° cos x dx = 3

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

Q: cosx + cosxcot’x secx

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Q: 1- x Vx2 + 9 dx. 1 2-5 dx 1+ sinx 3- sin'x cos'x dx

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Q: sinx

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Q: solve for y'. y=sin-1[(ax+b)/(bx+a)]

A: Sin-1x can be written as asin(X)   So we have expression as y=sin-1(ax+b)(bx+a) We have to solve for…

Q: y = π/2 sinx y' =

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Q: Find y'. sin t y = 8 + t %3D y' = %3D Find y'. 2 sin 0 + 9 cos 0 y = %3D sin 0 – cos 0 y' = %3D

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Q: If f(x) = sin?x, then f"(x) = %3D A 2cos2x B cos2x -sin2x D -4sin2x

A: Given, f(x) = sin2x For the given function , applying chain rule ,  First differentiate it as { xn ,…

Q: Find y' if y = sin² (5+7)

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Q: x" - x' - 2x = sin3t

A: Consider the given differential equation, x''-x'-2x=sin3t make the auxiliary equation,…

Q: y' = 2 - sin t

A: Given that y'=2-sint. solve the above differential equation as follows.

Q: Find y' of tan x = Sin y -2x5

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Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: Find f. f"(x)  =6 x + Sin x

A: Given: f"x=6x+sinx we know that f'x=∫f"xdx                                      ..1 so, by using…

Q: 3 sin x 1. S- dx 1+cosx

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Q: 8e cos 2x dx csc(x) sec(x)

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Q: 2) Find f' (=), f" (A), f" (E) given f (0) = sin 30 cos 0

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Q: | sin´x-cos²x dx

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Q: Find y'. tan(x + y) = x + y

A: Solution ) tan ( x + y ) = (x + y ) Differentiate with respect to x d/dx tan ( x + y ) = d/dx ( x +…