15. Differentiate 4y³ with respect to x. A) 12y? B) 12y C) 12y2 dy D) 4y2 dy dx dx 16-17. Find the derivative of x2 + 2xy y2 A) –x B) 2x + 2y x+1 C) y DI x+y

Q: a) Find the points at which the function f: C → C defined as: f(x + yi) = x³ − y² + (x − y)i - Have…

A:

Q: 1. Which of the following functions have a derivative of zero? a) y = 9.8 b) y= 11 c) y=-4+x d) y =…

A:

Q: Find the derivative. y=(x2+x)-3 OA. dy 3x5 (2-x³) dx (1+x³)3 OB. dy_3x4 (2-x³) (1+x³)3 dx 5C 31 ...

A:

Q: F Só So dx dy. x2+1

A:

Q: Find the second derivative of y = 6xcosx.

A:

Q: I. Evaluate the following: a. (x³ + cos y + 5 dy = - 3yx²) dx b. xdy – ydx = (4x2 + y2)dy c. dx +…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Which of the following statements is the derivative of x2 y3+ 2 x y² - y = x³ with respect to y? dx…

A:

Q: $ 1 b) y = √√x lad

A:

Q: Exercise 10. Find the derivative d 7x (* + 2) dt dx

A:

Q: Solve: (x+y)dy-(x - y)dx=0 A. x² - 2xy-y²= B. x² + 2xy + y² =c C. x² + y² =c D. x² - 2xy + y² =

A: The given equation is(x+y)dy-(x-y)dx=0 To solve the differential equation.

Q: dy as a function of x. Write the function in the form y = f(u) and u= g(x). Then find y = (- 2x +8)…

A: We know that ,  if y = f ( u ) and u = g ( x )  Then  dy / dx = f ' ( u ) • g ' ( x )

Q: B) If f (x, y) = tan (2x – 3y) find дх ду?

A: Given function is fx,y=tan2x-3y

Q: (c) Find the value of √a²-x² Sa giving your answer in terms of a. 1+ 2(x + y) x² + y² dx dy,

A:

Q: Given y2 - 2xy = 1 a) Find y' b) Find y" and make sure your answer y" is in terms of x and y only.

A:

Q: Eliminate the arbitrary constants y Iny = C,e "+ C, X-

A:

Q: let r (t) = The y component of r' (5)

A:

Q: Q.#3 For 2x²+xy-y²=2, please find each of the derivatives requested below. Final Answer b) a) dx dy…

A:

Q: x2 – y? + xy = x²y Find dyldx using implicit differentiation.* 2ху-2х-у x-2y-x2 2ху-у x-2y+x² >>…

A:

Q: 2) Evaluate | xy? dxdy D. where D: x+y² <2, x N 0.

A:

Q: 9) y = e4x² + x A) dy dx 8xe2x + 1 B) dy - 8xex2 dx %3D + 1 C) dy dy - 8xe4x2 dx — 8хе + 1 %D D) + 1

A: We have to find

Q: dy : Find if dx 3.x 2) x - y 4+ y x +y 4) xy² x - y

A:

Q: 4. a) Find the following derivatives using differentiation rules. d dx 5 2)* d ii) Vx + dx d²y b) If…

A: 4 First we will see differentiation rules.…