d) cosec ² (x) dy = sec (4) dx -cos (2x) Ssin²(x) dx = -1/2/1-Cos(2x) dx -1/2 (X-1/2 Sin(2x))+C dy (=) (cy) = Date: ax CS(²(X) = <= cos(y) dy - Sin² (x) dx [cos(y)dy = fsin² (x) dx/ sinly) = sin(2x) + + +C y = -si =-Sin`^ (sin(x) cos(x)=-2X + C)

Q: Find y" by implicit differentiation. x² + 5y2 = 5 %3D

A:

Q: Find the solution of the equation y^' = (1+y) sec ⁡x + tan⁡ x. and, Solve the equation x dy - y dx…

A:

Q: Please help me. *If y = √u+1 and U = 5x+1, then dy/dx is

A:

Q: Use the variation of parameters to solve the following equation: d^2y/dx^2- 3 (dy/dx)+2y=cos⁡(e^-x)

A: I am attaching image so that you understand each and every step.

Q: dy for the following functions : dx 1. Find 3(x – 1) (ans.: 5) Sec² /2x +7 15) y=\tan /2x +7 (ans.:…

A:

Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

Q: What is the derivative 7 of y = (3x + 1)²? 21 dx dy = 6 (3x + 1)²¹ dx = dy 6 (3x + 1)² dx = 7 (3x +…

A:

Q: 7 (2+ x³)' Vx² – 1 (x2 + x + 1)* 3 d B : dx - 4

A:

Q: Find y' cos(xy) - y^4 = 5 - 3x

A:

Q: Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation…

A: The given equation is yz=e3x+z.

Q: A cow is moving along a long straight pen. The cows position now (t=0) is 6 feet to the right of the…

A: Solution:

Q: エ+2= 3y

A: Topic:- derivatives

Q: Evaluate dy/dx @ the given point y^5-4=x^5-2y  @ (-1,1)

A: The given equation is  y5 - 4 = x5 - 2y We know that (d/dx) xn = nxn-1

Q: Find the derivative of y = 3x² − 2x + dy = 6x 2 dx dy dx dy dx Oy = = 3x - 1 = 3x - 2 6x - 2

A: Given query is to find the derivative of the function.

Q: cos x )y+y'= e^(-sinx) solve the dif eq for the problem above  thanks

A: Given that  (cos x )y+y'= e^(-sinx)

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

A:

Q: H.w Sec'c-x)=バーSec x

A: