find all first partial derivatives f(x,y)= 5x^3+4y-3 Find all first partial derivatives. f(x, y) = 5x3 + 4y - 3 f(x,y) = f(x,y) =
3. For each of the following functions, (i) Determine the domain, (ii) Find their first derivatives, (iii) Find their second derivatives, (iv) Determine whether they are globally concave? Why or why not? (a) f(x) = 4x? - (b) f(x) = ln(22 - 2) (c) f(x) = e
Find the first partial derivatives with respect to x, y, and z. W = x/yz4 + xy - 4yz
(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...
Find the first and second derivatives of the function. g(x) = -2x3 + 10x2 + 7x - 70 g'(x) = g"(x) = Type here to search o
(a) Let h() be defined by 1. h(x) h2, х > а where h h2 and a are constants. Find the first and second derivatives of h in the distributional sense (b) What is the third derivative of |x| in the distributional sense. (a) Let h() be defined by 1. h(x) h2, х > а where h h2 and a are constants. Find the first and second derivatives of h in the distributional sense (b) What is the third derivative...
Find the first partial derivatives of the function. Find all the second partial derivatives.
(10 points) Find all first and second partial derivatives of f(x,y) = 24 – 3.z”y2 + y* [Note: By Theorem 13.3 on page 913 of the textbook, it should be that fry = fyr:]
Differentiate implicitly to find the first partial derivatives of z. x In(y) + y2z + ? = 49 az Ox = az ay = 10. (-/1 Points] DETAILS ALC11 13.6.009. Find the directional derivative of the function at P in the direction of v. g(x, y) = x2 + y2, P(7, 24), v = 5i - 123
Find the first and second derivatives of the function. g(x) = -2x3 + 10x2 + 7x - 70 g'(x) = -61? + 20u+7 9"(x) = –12x + 20 Type here to search o