Find the first and second derivatives of the function. g(x) = -2x3 + 10x2 + 7x...
Find the first and second derivatives of the function. g(x) = -2x3 + 10x2 + 7x - 70 g'(x) = g"(x) = Type here to search o
6 of 15 (complete) Find all the second-order partial derivatives of the function f(x,y) - 7x + y + xy (Simplify your answer) dyche (Simply your answer) 21 dy (Simplify your answer (Simply your answer Enter your answer in each of the answer boxes
Find the four second-order partial derivatives for f(x, y) = 2x4,5 + 7x®y?. tyy
Write the first and second derivatives of the function. f(x) = 4.2 In x + 5.1 f'(x) = . f"(x) =
Find the first partial derivatives of the function. Find all the second partial derivatives.
A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) х y = (x - X + 7 y' =- (x-7) 2x + 28 (x-7) Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes y" vertical asymptotes Find any critical points. (x, y) = Find any relative maxima and relative minima. relative maximum (x, y) =...
(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...
for the following function: 3. Find all first and second partial derivatives, of of of of of Ꭷr ' Ꭷy ' Ꭷra ' ayya ' ᎧyᎧr f(, y =re*v
Find the derivatives of the function g(x) = psinx (x² + 1)?dx.
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