show work please a) Find the second order derivatives of y=x - 3x2 + 3x-1 b)...
Find all the second-order partial derivatives of the following function. w=3x sin (6x²y)
3x+2 f(x) =( :) (x-> +1) Your problem: using the rules of differentiation, find the derivatives of the collowing: f)-(3442) fool(3x+2) (-5x + x + 1) - 2 1 =(-15x 10x" + (-2x = 2) =>15x410x5 - 2x = = 3x -3x- 27 (X)(3+0)-(3x+2)(1) x² g'=(x) =F12x15x4_2 = -5x6 xb * please check my work, if wrong, please write out correct solation! Chain Rule: When functions are composed, to take the derivative involves both the outside function and the inside...
Please show all work Let f(x) = x2 + 3x + 5. a) Find all derivatives of f(x). b) Find the value of f(n) (2) for all derivatives. c). Find the Taylor's series for f(x) centered at c = 2.
(x + 1)2 Consider the function f(x) -. The first and second derivatives of f(x) are 1 + x2 2(1 – x2) 4x(x2 - 3) f'(x) = and f" (2) Using this information, (1 + x2) (1 + x2)3 (a) Find all relative extrema. (4 points) Minimum: Maximum: (b) Find the intervals of concavity for f(x) and identify any inflection points for yourself. (5 points) Concave up: Concave down: (c) Using the fact that lim f(x) = 1, and our...
the answers should look similar to the bottom picture please, thanks Find all the second-order partial derivatives of the following function. 2x - y W= 2x2 + 2y 2w x² Find all the second-order partial derivatives of the following function. 3x - 3y W= 3x² + y Bw 54x3 - 162x?y - 54xy + 18y2 ox? (3x² + y) 3 w 18x? ay? (3x + y) = + 6x 3 54x3 + 27x? - 18xy - 3y (3x + y)...
(1 point) Find the maximum and minimum values of the function f(x, y) = 3x² – 18xy + 3y2 + 6 on the disk x2 + y2 < 16. Maximum = Minimum =
Consider the following. f(x) = 1 4 x4 + 1 2 x3 − 3x2 + 4 Find f '(x). f '(x) = x3+ 3x2 2−6x Find f ''(x). f ''(x) = 3x2+3x−6 Find the x-values of the possible points of inflection. (Enter your answers as a comma-separated list.) x = Determine the intervals on which the function is concave up. (Enter your answer using interval notation.) Determine the intervals on which the function is concave down. (Enter your answer using...
Find the first-order partial derivatives (fr. f,) and second-order partial derivatives (fxxıfyy, fxy, fyx) of the following functions. a. f(x,y)=x’y+x’y? +x+y? b. f(x, y) = (x + y)? Find the critical points at which the following function may be optimized and determine whether at these points the function is maximized, minimized or at a saddle point. z = 5x2 – 3y2 – 30x + 7y + 4xy
Find all second order partial derivatives of f(x, y) = (x² +3y)
please show all work Find the indicated partial derivatives. F(x, y, z) = Py(6, 1, -1) X + y + (6, 1, -1) Submit Answer