dy Find dx if e cos r 1 + sin(ry)

Q: dy If x=5+cos20 and y=3- sin20 , what is ? dx

A: The solution for the above question is as shown below.

Q: dy If y = sin='(cos x) then dx ||

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Q: S cos ædx from a = 0 to b = %3D %3D 3.

A: Substitution is done.

Q: FIND DY/DX OF THE FOLLOWING -y=sin' In (x+1)

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Q: dy 1- IF y = cos(3 cos 2x) find dx

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Q: dy If dx = COS s 2x, then what is y?

A: The derivative is given by dydx = cos2x                         ........(1)

Q: dy If x=5+ cos20 and y=3- sin20 , what is dx

A: We have to solve the problem

Q: dy Find if cos(xy) = x2 + y?. Show your work. dx

A: Differentiate wrt x

Q: Find dy/dx if 3 (cos y) (sin x) = y

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Q: cos r In(sin a)dx

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Q: Let 5 sin æ + 6 cos y = 6. dy dx d?y dx?

A: 5 sinx +6 cosy = 6  Differentiating w.r.t x,  5 cosx +6 (-siny) dy/dx = 0  dy/dx = 5cosx/(6siny)

Q: dy dx if y=Vsinx +sin Vx+ cos(2x)

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Q: sin t dy If y = tan" ), show that cos t-1 dt 2 II

A: Formula Sin2x + cos2x =1  Find dy/dt

Q: + b¬ + cx = 0 dt lution given by: - (A sin ßx + B cos ß.

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Q: S V sin(y) × cos*(y)dx × cos° 3 х COS

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Q: Find dy/dx given that y = sin(cos(x))

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Q: dy/dx= 4 cos 4x

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Q: dy If x = a (0 – sin 0), y= a (1– cos 0), then find dx |

A: Introduction :

Q: dy If y= sin(sin x), then dx o cos x cos(sin x) o cos(sin x) O cos 3x cos-(sin x)

A: Solve the following

Q: du = 3 and dx dy = cos u, find the du dy Given y = sin(3x – 2). If dx 3 cos(2x) 3 cos(3x) 3 cos(3x –…

A: Topic:- derivatives

Q: dy Find for y = - 19x+3 cos x. dx dy

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Q: dy Find if cos x = e dx %3D

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Q: find dy / dx by implicit differentiation.

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Q: dy Let y=e* sin 3x. Show that 3e-2* cos 3x - 2y. dx -2x d'y = -13y-4- dr Hence show that dx

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Q: find dy/dx. y = 4/cos x + 1/tan x

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Q: dy dx if e*y = sin-1y+ x²y + Find

A: Given exy2=sin-1y+xy2+yπ

Q: determine dy/dx if xy = ecsch(x)+πcos(0)

A: Given, xy = ecsch(x)+πcos(0)

Q: dy let y = cos(In(cos(x))), then is dx

A:

Q: dy Find dx 1. (a) y= cos (sinx)

A: topic - derivative of a function

Q: 5. y = sin* x + cos* x

A: y= sin4x + cos4xdifferentiating w.r.t. x;dydx=ddx(sin4x) +ddx(cos4x)     =4 sin4-1x ddx(sinx)…

Q: d'y +2 sin y cos' y = 0. dx 6. If y= tanx, show that

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Q: dy Find dx for y = 14x +5 coS x. d(14x+5 cos x)%3D

A: Formulas:1. ddxxn = nxn-12. ddxcosx = -sinx

Q: cos(2y - x) = 3ysin x

A:

Q: find dy/dx and dy/dx2, if : x = a(cosθ + θsinθ) and  y = a(sinθ - θcosθ)

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Q: Find when y = cos(sin 2x). ay dx dy dx

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Q: If y = cos2x then dy/dx

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Q: find dy/dx. g(x) = cos x/sin2 x

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Q: dy find the dx +Ince 义 9 = sin In Cl+e)

A: The given problem is solved below in detail.

Q: Find dy/dx given that sin(x+y) = y^2 cosx.

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Q: find dy /dx for the following 3 2 -1 Y3x'+Sin x+ Sin5X

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Q: dy Find dx if y = a (sin (1))". dy

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Q: d (cos – sin) dx 4

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Q: dy = sin (t) and x= cos (5t-2), hence find dx Given that y 3=

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Q: gives – sin(y)ÿ = cos y = x, so implicit -1 - csc y = rentiatio dy dx

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Q: Find dy dx the function y=2 sin 3X cos 2X

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Q: dy Find of sin x + cos y = ety. dx

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Q: sin t cos y = dy find dx Example 6. If x = cos 2t <. Vcos 2t

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Q: d le" cos.x) cOS x dx

A: Given ,  d/dx(ex cosx)  We know that  d/dx(uv) = u'v + uv'  Here ,  u = ex and v = cosx Then ,

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.