3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and w(x)-g(f(x)) Use the graphs to find the indicated derivatives. If the indicated derivative...
Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x. x/t(x) g(x) f'(x) g'(x) 3 1 16 6 5 4 - 3 3 4 N f(x) g(x), X = 3 Select one: O A. 197 OB. 37 O C. 101 OD. 60 to the integral
Suppose that the functions f and a and their derivatives with respect to a have the following values at the given values of d. Find the derivative with respect to a of the given combination at the given value of 3 x. f(g(x)) =) X=4 xf(x) gla) |f' (a) glo) +433
5. Given below are the graphs of two functions (x) and g(x) both functions are defined on[0,5].Let h(x)-(g(x)). Use the graphs to determine the sevalues of the critical points ofh(x).Explain Credit will not be given if no explanation is provided) f(x) g(x) 4 4 Esplanation/work used to determine the values of the critical points of h(x) The -values of the critical points of h(x) are 5. Given below are the graphs of two functions (x) and g(x) both functions are...
(3) Consider f: R3- R3 defined by (u,, w)-f(r, y, :) where u=x w = 3~. Let A = {1 < x < 2, 0 < xy < 2, 0 < z < 1). Write down (i) the derivative Df as a matrix (ii) the Jacobian determinant, (ii) sketch A in (x, y. :)-space, and iv) sketch f(A) in (u. v, w)-space.
5. Find the derivative matrices of the following composition of functions. (а) fog where f (x, у) — 2х — 3у, g(u, v) - (usin u, U sin u) (Ъ) f.g where f(х, у, 2) %3D (x? + у? +2?,х— у+2:), g() %3 (2, 13, 2/4) (с) fog wherе f (x, у, z) 3D (хуz, ху + xz — yz) where g(u, v, w) %3D (uu, uw, vw) 5. Find the derivative matrices of the following composition of functions. (а)...
3. Find the derivative using the quotient rule. 2e* f(x) = x-1 4. Let u and y be differentiable functions of x. Find the value of the indicated derivative using the given information. Pay careful attention to notation. du Find dx v at x =1 if u(1) = 3, u'(1)=-5, v(1)=7, v'(1)=-3
Referring to the graphs given below, use properties of limits to find each limit. If a limit does not exist then state that it does not exist. y = f(x) y = g(x) lim f(x)= lim g(x) = f(x) x- lim x+0 g(x) lim lim g(x) = lim [f(x)+g(x)] = x-1 lim f(x) = lim g(x) = lim --+ f(x) h- h derivative of f(x) = 2x² + 3x is f'(x) = 4x +3. The steps are what count here!...
Problem 3 Given the following graphs of f and g (both piecewise linear functions), define new functions u(r) = f(g(x)) and v() = f(g(). Find: 9 0 1 (a) (1) (b) v' (1)
suppose u and v are functions of x that are differentiable at x=2 and that u(2) =3, u'(2) = -4, v(2) = 1, and v'(2)find values of derivatives at x = 2(d/dx)(uv) = ? I would like to know how to set this up because I'm only used to getting problems that want the d/dx given ex: y=2x+1 so I was confused for this The answer is 2 but how do I set this up?