iv) if zx = (y)¯1 then zx/Zy %3D

Q: Differentiate. ax + b f(x) %3D Cx + d f '(x) =

A:

Q: Find y (2) if D.E. 2 dx +3y=sin 2x₁ y(0) = 6

A:

Q: Show that the function u(z, t) : satisfies ua = %3D %3D a2t2-2

A:

Q: If y = (9x + 5)x, find y'(1).

A:

Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

A:

Q: x²y = (1+ x)cscy. %3D dx

A: Given data: The given differential equation is x2y(dy/dx)=(1+x)cscy. The given differential equation…

Q: y = In(x + 2) at [-1,2]

A: The given problem is to find the interpolating polynomial for the given function within interval…

Q: 1. State the domain and range of {(x, y)|y = + 3}.

A:

Q: dy 1 1 dx V1 - x2 V1 - x2

A:

Q: If Z = eax + by F(ax - by); the value of %3D az is + a ду az

A:

Q: If y = (In x + 1)(2x³ – 3x), then will be dx

A: Differentiate wrt x

Q: B1. Verify fy = fx for the function f(x,y) = ln(2x- 3y). %3D xy

A:

Q: The y' for y = (x³ +

A:

Q: 2. Find x Inx dx

A: 2) The given integral is ∫x lnxdx

Q: dy Find if dx )*. 3 y = (2x° + x %3D

A: y=2x3+x4

Q: If a function y = f(x) satisfies = y, %3D then %3D dr y = e".

A:

Q: Find y". y = x(3x + 1)* y" =L

A: Given function is  y= x(3x+1)4  We have to find : y".

Q: Find when y = -5 (In(x))¯4

A: Explanation of the answer is as follows

Q: S(2-x) In(4x)dx

A:

Q: 3. x² - x dx =? %3D [x-1]

A:

Q: dy If y = x (e* - 1), then %3D 6. dx

A: Given: y=x^2 ((e^ x)-1) To determine: d y/dx

Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

A:

Q: Define what it means by for y f(x) dx

A:

Q: Let f(1) = 2 and "(1) = 3. Suppose g(a) = f(a)]. Calculate g(1). %3D

A:

Q: y' = e2x + y – 1

A: Using method of linear differential equation.

Q: Find y'. y=x V6x - 1

A:

Q: dy 1 3x2 In(x) + x³ • %3D dx

A: Given:

Q: If g(x) = f(x) + h(x); find g'(x).

A: Topic = Derivative

Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

A: