Problem 3. Find all four second derivatives of the following functions: (a) f(x,y) = 5x²y³, (b) f(x, y) = ln(6x² - 2y³).

Q: I. Find the second derivative 3. y = (x +8) (6x-1)

A:

Q: 1. Find the derivatives of each of these functions: a. y = ln (4x² + 4) b. y = 22² c. y = 25x+7…

A:

Q: Question 4 What is the second derivative of y = csc* (2x) ? A y"= -8 csc“ (2x) cot (2x) B y" = 16…

A: Please see the answer below.

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x² + y²

A: Given,            f(x, y)=3xy2+2xy+x2ln1x2+y2

Q: 2 3 1. Determine the derivative to y² = x³ + y² + 2xy

A: Given problem:- Determine the derivative to y2 = x3 + y3 + 2xy

Q: 24// Find first and second derivatives of the function (3xy + 7)2 = 6y.

A: Step:1 We have to find the first and second derivatives of 3xy+72=6y Here we have to find the…

Q: C) Find the derivative of y= (1+ x²)*

A:

Q: Find the derivative of y=x²cot-¹(3x).

A: y = x2cot-1(3x)  Differentiating w.r.t x, we get        dy/dx = d/dx [x2cot-1(3x)]…

Q: 3. Find the derivative of y = | (12 +1) dt.

A:

Q: Find the derivative of the function y=In(2x³ - 3x) Ay' = 6x² - 3 B. y' = In(6x²-3) cy'= C D. y'= 1…

A: