* :The implicit derivative (dy/dx) of (f(x, y) = y² — x² — sin (xy)) 2x+xcos(xy) 2y-ycos(xy) 2y+ycos(xy) 2x-xcos(xy) 2x+ycos(xy) 2y-xcos(xy) B C !

Q: What is the derivative of y = 3x²tan-1(x)?

A: ddxxn=n xn-1ddxtan-1x=11+x2 One have to use product rule here, which is ddx(uv)=vddxu+uddxv

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2…

A:

Q: 1) Find the linearization L(x) of f(x) at x = a. f(x) = 2x2 + 4x - 1, a =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: What does is mean for two functions f(x) and g(x) to be orthogonal

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Q: Find dy/dx using partial derivatives  cos(x-y) = xe^y

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Q: dy 2²+1 Use the quotient rule to find the derivative of the function y = dx О А. dy 1 = 2x(x+ V) –…

A:

Q: f(x, y) = ex + tan(x + y2).

A:

Q: Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r'(1) and s'(4).…

A: