is given by Oxy = E(XY) HxHy.

Q: Find the value of df/dx at x= f(a). f(x) = x² - 2x+ 4; a = 3

A:

Q: S dy(t) = y(t) = - iw ſe-iwt dt.

A:

Q: d d. dx tan(t)dt

A: Leibnitz Rule of differentiation :     ddx ∫α(x)β(x) f(x,t) dt = ∫α(x)β(x) d(f(x,t))dxdt +dβ(x)dx…

Q: find dy/dx : y =3√tan3xx2

A:

Q: Find dy/dx If y ex A 2/א"e ],/איe D-2V B.

A: We have to find dy/dx.

Q: Find dy/dx for xy − ey = 2.

A:

Q: 1. xyz dx dy dz

A: There is triple integration. First we integrate with respect to x, then w.r.t y and then w.r.t z.

Q: Find dy/dx for e 2x + y 2 = sec(2x) in terms of x and y using implicit differentiation

A:

Q: nd ifzxy+In(x) . x-r-I and y=e dt

A:

Q: dy 9. = 2+ e dt

A:

Q: find dy/dt. y = (esin (t/2))3

A:

Q: Give a geometrical explanation of why

A: Consider the given integration as ∫aafxdx=0

Q: 8. y e²x dx = (4 + e²x) dy.

A: Need to find out the solution of the differential equation.

Q: find dy/dx if x=(t2-2t+1)e3t and y=(t2+4t+4)e3t

A:

Q: Show that esin(x²)dx < e– 1.

A:

Q: Differentiate

A:

Q: (og, y)² dy y

A: We have to integrate the given integral.

Q: 11. x dx dy

A: Given, ∫05∫0yxdxdyLetI=∫05∫0yxdxdyFirst integrate with respect…

Q: Solve this DE:  1. dy/dx= (x+3y-2)2

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

Q: Find if y%3D cos (2x)+ 2еж: dx dy

A:

Q: dy +2y=e¯X dx

A:

Q: logs (y? –- y) + () = -3y 2 csc-1 CSC X

A: Topic = Derivative

Q: )find dy to yalog,o(3X+1)

A:

Q: (x² - 4) dx x² + 2x² + 2x S

A:

Q: If f(x) = Vi -1 and g(x) = x' + 1, approximate (fo g)(0.0001). In order to avoid calculating a zero…

A: Given, fx=x-1gx=x3+1

Q: Find dy/dx x = t2 , y = 7 − 6t

A: Given that: The parametric equations, x = t2  y = 7 - 6t

Q: Find dy dx a. 20 In (e 5x +20) y= b. y = 20x (220x) 20% c. y = €²0x-1 + 20 In (ex)

A: Consider the equations, (a) y=20lne5x+20 (b) y=20x220x (c) y=e20x-1+20lnex The objective is to find…