Determine the two-variable function F(x, y) if Fy (x, y) = y sin(xy) + x given that x^2 + πχ2 F(x₁ - 1) = - TU
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- F(x) = 2ax^3 + b^3x – 4c where a, b and c are real constants. Suppose that f has a horizontal tangent line at x = 2, and that the tangent line to f at x = 0 is given by y = 8x + 4. Use the given information to find all possible values for a, b, and c. Explain your reasoning and show your work.Find the derivative 7 2 y= √esce³x²=²+bx-s)f(x,y)=x^4+y^4-4xy Find all the endpoints of the function.
- Consider the function f(x)=5x^2−40x on the interval [0,5]. Find the absolute extrema for the function on the given interval. Express your answer as an ordered pair (x,f(x)).Differentiate the function. y= (2x4 - x+ 1) (-x5 + 2) Choose the correct setup below to differentiate the function. d d O y=2(-x° +2) •(-x* +2) +2(2x* - x+ 1) · (2x* - x+ 1) dx dx d. d y' = (2x* - x+1) ·(-x³ +2) - ( -x³ +2) • (2x* - x+1) dx dx d o v= (2x* - x+1) (-x* +2) + (-x* +2) (2 -x*+1) -(-x5+2) + ( -x5 +2) (2x* -x + 1) d d. y' = (2x* - x+1) (2x* -x+1) + (-x³ +2) • (-x° +2) d d. O y'= (2x* - x+1) · (2x* -x+ 1) - (-x +2) ·(-x5 +2)The derivative of the function f(x) = x2 - x +2 is 16. X - 1 (x* - 2)Vx b) (x² - 2) V x? - 2 c) d) X + VX e) none of the choices Your Answer :