Find the derivative of the following: - y = 8x evero of y = 4825 euro...
1.Find the partial derivatives of the function f(x,y)=(8x+8y)/(6x-7y) fx(x,y)= fy(x,y)=
5 4 3 + - + 6x - 4x + 8)e to Find the derivative of the function. y= (2x3 – 2x2 + 8x - 6)e ** O B. (6x5 - 6x4 + 24x3 – 12x2 - 4x + 8)e O C. (6x5 - 6x4 + 24x3 – 1872)e ** OD. (6x2 - 4x+8)e ** to
Use logarithmic differentiation to find the derivative of the function. y = 6 Select one: a. y' = 6x®(6 Inx+1) b.y' = -6x®*(Inx+6) о C. y' = 6(Inx+1) d. None of these e. y' = 6x®* (In x + 1) f. y' = x* (In 6x + 1) o
Find the second-order partial derivative. Find fxy when f(x,y) = 8x®y - 7y2 + 2x. O A. 24x? B. 48xy O C. - 14 OD. -28
(8 points) Find the centroid (cy) of the region bounded by: y=3.+ 8x, y=0, x=0, and x = 8.
Find the derivative of y with respect to x, t, or e, as appropriate. y = xnx - 1/2 x 3 0 7x5 x2 O x5-x² + 6x ln x O 6x5-x² Oxnx-x² + 6x5
Please answer with work Find the derivative of y with respect to x. 3) y = -cot-1 6x 3) 7 49 6 42 -42 A) B) C) D) 36x2 + 49 49 - 36x2 36x2 + 49 36x2 + 49
Use the limit definition of partial derivatives to compute the partial derivative of the function f(x,y) = 6 - 6x + 5y - 3x2y at a point (3,4). a. Find f,(3,4). b. Find f(3,4). 1,(3,4)=0 (Simplify your answer.) 12(3,4)=0 (Simplify your answer.)
hind the derivative. y = 12x dy + 5x + 8x, find dx O A. dy = -24x dx - 3 + 15x2 OB. dy =- - 24x - 1 + 15x² + 8 dx O C. dy dx - 24x - 1 + 15x2 OD. dy dx -3 - - 24x + 15x2 + 8
Problem 3. (1 point) Find y as a function of tif y" + 5y - 14y = 0, y(0) = 5, y(1) = 6, y) = Remark: The initial conditions involve values at two points. Problem 4. (1 point) Find the solution to the linear system of differential equations 8x - 15y 6x-lly satisfying the initial conditions x(0) = -16 and yo) = -10 x(t) = Note: You can earn partial credit on this problem