d²y ex 1. Find dx2 for y = %3D (2x²–3)

Q: dx 5x. J 75V9x² – 1

A:

Q: dw for w = dx x+5 Find 2x-7

A: Use the derivative of the form f = u/v and simplify.

Q: y - 1 %3DCOS (7x*) dy dx %3D

A:

Q: Differentiate the function below. y= (x2 + 4) (x² – 2) 8 d [(x? +4) (x² - 2) ® _ = O %3D dx

A: Ans is given below

Q: Differentiate. 3 3 y= Vx + 12x +4 -x y' D

A: y=x3+12x+43 ·x3y=x3+12x+413 ·x3y''=ddxx3+12x+413 ·x3…

Q: dz Find if z = (8x +5y). dy dz dy %3D

A:

Q: Find dy for y = (8x + 1)2. dy = (Simplify your answer.) %3D

A:

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

A: Differentiate wrt x

Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: 2 dx 8x + 9

A: To find the value of given integration  We use some basic results of integration and substitution

Q: dy y + 3x %3D dx

A:

Q: 2x - 3y = 7 y = 3x – 7 .

A:

Q: 5. (2x + 3V )dx 2х + 3уx

A:

Q: dy Find for y = x(4x + 3) dx - |3

A: The function is given by y = x4x+313 To evaluate : dydx

Q: Fl)=3x"-7 and glx)=3x+18 -whatig Cg-f)(-3) what is or

A:

Q: find y' for Zy%3D2X-2y

A:

Q: dy y secx + ytanx dx %3D

A: Given differential equation is : dydx=ysecx+ytanx

Q: Find y". y = x(3x + 2)*

A:

Q: what is y=1/2tan3x

A:

Q: 15. If y3 – xy = 5 ,1 d²y then dx2

A: y3-xy=5

Q: х+3у dy= dx 3x+ y

A:

Q: T= tan (x+2y+ 3Z) %3D Find: Txx XX Tx Txy Ty Tyy Tyx Tz Tzz Tzx T zy

A:

Q: Let y = (3x²-2)* (4x + 3)7. %3D Find y'.

A:

Q: Find oy for dx2

A:

Q: dy 6. + 2xy? = 0 dx %3D

A: Topic = Differential equation As per guidelines  , At a time only one question can be answered out…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.