+3x2. Find dy/dx if: (y)² = sin5(cos³(- -)) 2 %3D

Q: y=cos-1(3x2+1)=arccos(3x2+1)

A:

Q: [2 ln (x)+1] dy in yty cosy %3D dx

A:

Q: dy Find where y = sin²(V3x²). dx

A:

Q: cos² (6y) + sin²(6y) = y + 12.

A:

Q: [y²e + √elnx dy-(xy) sin² ( * O) + (---) (-) sin² tan² ,dx ey+Inx dy y(In2x-lny) -ex. dx = 0

A: We can solve this using substitution method of ordinary differential equation

Q: 3) y sin-ly² dy

A:

Q: +3x2 B) Find dy/dx if : (****")) (v)² = sin (cos³

A: Differentiation chain rule

Q: If y=(sin3x-cos3x)², find dy dx

A:

Q: Estimate S, cos(4x)dx with Trapezoidal Rule. n = 10

A:

Q: find dy/dx if y = sin-1(1/x)

A: Here given as

Q: 5y + sin y = x²

A:

Q: find dy / dx if y2 - x2 - sin xy = 0.

A:

Q: b. sin 2xdy – 2(y - cosx)dx = 0; when x = 1/4, y = 0

A:

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

A:

Q: dy Find for: dx y = 5x[cos"(5x] -ī - 25x2

A:

Q: If y = cos 3X find dy/dx: y = cos?3x = (cos 3x?. (cos 3x )?. %3D

A: Given, y=cos23x=cos3x2

Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: 1 Cos(2x)dx 0. (i) Using composite Trapezoidal rule with n = 2, 4

A: As per the policy of bartleby the provisions is to solve only one question at a time So I am solving…

Q: 3. If y = (5x)sin(3x), then dy dx ||

A: Given the function y = f(x)

Q: y + sinx cos2(xy) cos (xy) Ex. 13. Solve dx + %3D .cos?(xy) + siny ) dy = 0. CS Scanned with…

A:

Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: find dy/dx where y=sin^3x+cos^6x

A: Given:

Q: Find the value of dy/dx at (1,0) of 2re" – In() = 4y² + 2a sin

A:

Q: 7T 2 Find 35 cos(7x) dx 5π 2 7T 2 35 35 cos(7x) dx = -5π လ

A:

Q: Find dy/dx if y= cos-1 In(x+1)

A:

Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x day 6. dx if y = 1-cos4x 1+cos4x dx² dy 7. a if y = In…

A: (7) Let y=lnsinh 5θ and x=cosh(4θ)

Q: Tutorial 14 If y = (sin-1 x)², show that dy (1 – a²) - dy = 2. dx dx?

A: Given, y=sin-1x2 Differentiate with respect to x y'=2sin-1xddxsin-1x=2sin-1x11-x2y'=dydx=2sin-1x1-x2…

Q: find dy/dx if y = (sin-1 x)2

A:

Q: Find dy/dx in terms of x and y if arctan (x^3)=xy^3?

A: To find the derivative of the given function.

Q: 10) y7 exbx

A:

Q: Find dy/dx of sin(x + y) = xy^2 − 2x^3

A: Differentiating using chain rule of differentiation

Q: 5-2x dy if y = cos Find dx %3D 5+ 2x

A:

Q: dy/dx of y=sec^-1 (5x)

A:

Q: find dy/dx if(cosx)y=(siny)x

A: Given: -

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

A:

Q: 3z cos(z)dz

A:

Q: Find dy/dx by implicit differentiation. (cos πx + sin πy)5 = 70 dy/dx =

A:

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

A: I have stated the used formulas in the solution

Q: tan dy| 2 Find dxlx=7 for the equation y = (Vx + 1) 2.

A:

Q: Find dy/dx for 4 cos4 xsiny = 15

A: d(uv)dx=udvdx+dudxv

Q: dy 4. Find at (- 2,0), if 3x² +2x²y² +sin y=12+2y. dx

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: sin(2x) dx+cos(3y) dy=0,y(π/2)=π/3

A: Consider the provided differential equation with given initial condition,

Q: S2(cosx)(sin2x)dx %3D 3.

A: .................(1) take  put all values in equation 1

Q: Find (dy/dx) if y²-x?- sinxy =0

A:

Q: find dy/dx 19) y=Sin" (5x' ) 24) y= Sin 2x.Cos2x 42) y = sinh (tan x)

A: These problems can be solved by the application of Chain rule.

Q: (у-sinx) dy + dx = 0.

A: dy+(y-sinx)xdx=0⇒(y-sinx)xdx=-dy⇒(y-sinx)dx =-xdy⇒ydx-sinx dx =-xdy⇒ydx +xdy = sinx dx⇒d(x·y) = sinx…

Q: Find dy/dx of sin^2(3y)=x+y at (2 - pi)/4 , pi/4

A:

Q: (2xsinx +3 cos y)dx-3x sin ydy 03 ....

A:

Q: d'y dy dx² dx 21 29 - -6y=6e¹ cos x; when x=0, 20 dy dx =-629 y = 2e-3x - 2e²x 3e-* 29 (3 sin x - 7…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: