Given the function y = (x³ –4 – 3x) COS x, find dy in any form.

Q: Find y' for y = ecos x + tan-1(5x) + (5x² + 1) ?

A:

Q: Given y= 5e3X + sin x, -is dx A) 5e3x + cosx B 5e3x – cosx 15e3x + cosx D 15е3х — сosx

A:

Q: - Find dy /dx for the given function y? cos fy)=2x +2y

A:

Q: Given y= sin3x, dy at a = 3 is approximately

A: The given function is y=sin3x. Differentiate the given function as follows. dydx=ddxsin3x=cos…

Q: f (t) = t(e-2t + cos at)

A:

Q: Find for the following function: dx 1- y = sin-1 V2x + 3 2- y = 3cot(cosx) 3- v = r?y at r = 1

A: AS PER GUIDELINE WE HAVE TO SOLVE THREE SUBPARTS

Q: Q5-Find for x? + cos(xy) = y dx

A:

Q: cos-1(2 x2)

A:

Q: The function r'e&z sin(8x) is annihilated by the operator

A: Given function: Given function is x3e6xsin8x

Q: 7 Cos X dx e 4 Using the Midpoint Rule, M(50) =| |: %3D

A:

Q: Find for the following function. dx 5 cos x y= 6-7 cos x dx

A:

Q: y tan x dx + In* ydy=0

A:

Q: Consider the following function and express the relationship between a small change in x and the…

A:

Q: d²y Given that y = -4x cos 2x +4 sin 2x, find dx² at x = 2

A: Given: y=-4xcos2x+4xsin2x

Q: y= cos (1-t) and x=V2t - t2

A:

Q: Solve D.E using Exact from first order (x' +y' )dx+(2xy + cos y)dy

A: A differential equations M dx + N dy = 0 is exact if  My = Nx

Q: x = e' sint,y = e² cos t at t = 0

A: We need to find radius of curvature.

Q: Q;: Find for the following functions: - dx xcos (x³+1) 2- y = Tx cos" (x³+1)

A:

Q: Find dy and evaluate when x = T and dx 0.5 for the function y -10 cos (5x)

A:

Q: Find for the following function: dx 1- y = sin-1 2x + 3

A:

Q: Find for the following function. dx y= 5x° cos x sin x dy dx II

A:

Q: Find a positive value of k for which y=cos(kt) satisfies y''+25y=0.

A:

Q: Find the general solution dy y cos a + 3xy %3D dx

A: We solve the given differential equation by separation of variables.

Q: x cos (y²) dy dx

A:

Q: Find for the following function. dx y = 3 cos x sin x dx II

A: Take derivative on both sides Take the constant 3 out from the function ,

Q: Q4: Find for the following functions: - dx 1- y = 2cot? xcos (x3+1) x cos² (x³ +1) 2- y =

A: Given functions are 1) y=2 cot2x-1x+1 2)y=x cos2x3+1x cos2x3+1 We need to find differentiate of…

Q: Given x=sin5t and y=cos⁡5t, find the following derivatives as functions of t . a) dy/dx b)…

A:

Q: Find the antiderivative of f(x)=cos(3x)

A:

Q: Find dy : (a) y = cos(1 Ix + 5x) dx

A: Topic:- calculus

Q: find dx/dt x=(cos2(t/2))

A:

Q: Given x +2xy– y² +x= 2. Find dy at (1,2) using implicit differentiation. dx

A: We need to use simple  differenciation

Q: Find the differential of each function. (a) y = tan(3t) dy =

A: We have given  y= tan(√3t)  We have to find the differential equation.

Q: The appropriate change of variables for the dx is Vx²-4 x=2 cosØ O x=2 sec Ø O x=2tan Ø O x=2 sineØ

A:

Q: Given x = sin3t, y = -cos3t, then find at t =. %3D dx а. 1 b. 3 с. О d. 2

A: We need to find dy/dx.

Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOL'N): у%3D 3…

A: given that y=3 arccos1-x3+6x-x2 find the second derivative of y

Q: Q: Find for the following functions: - dx 1- y = 2cot2 xcos²(x³+1) 2- y = Tx cos" (x+1) cos²(x³ +1)

A: Simplify the expressions if possible and then find the derivatives. Find the derivatives in the…

Q: Find d2y/dx2 implicitly in terms of x and y 7xy + sin x = 2

A:

Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

A:

Q: Find dy for the following expressions: dx а) y = x5 In(3x) b) у %3D 2 cos + 2x3 3x2 + 7x + cos (x) y…

A:

Q: Use the chain rule to help you find dy/dx for each of the following functions: 10. y = (x²+4)³ 12. y…

A:

Q: Find for the following function. dx y=9 cos x sin x dy

A: Differentiate y with respect to x using product rule.

Q: 3 T - 2 Evaluate: J. Soves y cosx³dy dx

A:

Q: Given G(x, y) = y* sin(2x)+x² ( x0 º – cos(y²))' find Gyyyxxxy „10 ууххху

A: Consider A(x,y)=y4sin2x and B(x,y)=x2y10-cosy27 then G(x,y)=A(x,y)+B(x,y).Therefore…

Q: Find the differential of each function. (a) y = tan 3t dy =

A:

Q: Find the particular solutions satisfying the given conditions: dy a) y = 2 when x = 0. dx = 1 + cos…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: dy If x = t? cos? 3t y = 3 sin 3t find dx

A:

Q: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

A: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

Q: If Xy +y'=1, find at the point Co,-1) 4P dx 2 5- the value of

A:

Q: Find of the following functions: dx a) y = (x²+3x)5 b) cos(x²) + sin(y³) = 0.6

A:

Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)-pi/6. decimal…

A: differential equation