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…

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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 =…

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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 ...

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Q: F Só So dx dy. x2+1

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

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

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

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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