
as a function of x. Nrite the function below in the form y = f(u) and u = g(x). Then find dy dx y = √5x² - 6x +5 Write the function in the form y=f(u) and u = g(x). Choose the correct answer below. OA. y = Vu and u = 5x2 - 6x + 5 OB. y=u and u =5x2 - 5x+5 OC. y = 5u? - 5u +5 and u = x OD. y = 5u2 -...
07. Show that the function u(x, y) In(5x +y) -5(z +y)2 is concave.
07. Show that the function u(x, y) In(5x +y) -5(z +y)2 is concave.
QUESTION 8 Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x. 6 y = 8 X O y = 542 10x16 6 u +878 - u; u = x8, causing O y = u8; u = 5x2.-x -f10x -1) Oy= u®; u = 5x2.6 x = 0(532-60) y = 48: u = 5x2.5 - X 5x2 x dx QUESTION 9 Given y = f(u) and u = g(x),...
Find (f o g)(x) and (g of)(x), given that f(x) = 5x + 9 and g(x) = 2x - 3. (fog)(x) = (Simplify your answer.) (gof)(x) = (Simplify your answer.)
write answer in exact simplified form
Given the functons: f(x)=xº+5x g(x)=5x h(x) = 5x-3 Evaluate the function (f •)(r) for x =-2. Write your answer
9. The linear function f is defined by f(x,y) = (x + 2y, 5x - y). (a) (5 pts) If ū=(-1,2) and 7 =(3, 1), check that fü+v) = f(ū) + f(ū). (b) (10 pts) Find the standard matrix for f.
some help please
o D. go Given y=f(u) and u = g(x), find dy/dx = f(g(x))g'(x). y = sin u, u = 2x + 12 Select one: A. 2 cos (2x + 12) B. cos (2x + 12) C. - 2 cos (2x + 12) D. - cos (2x + 12)
9 or 16 (9 complete) X 2.6.53 For f(x)=x +5 and g(x) = 5x +4, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2) a. (fog)(x) = (Simplify your answer.) Enter your answer in the answer box and then click cha
Given y=f(u) and u=g(x), find dy/dx y=u^2, u=4x-5
Find the derivative of the function. y sin-1(5x+ 1) Part 1 of 3 The function y - sin-1(5x + 1) is a composition, and so we must use the Chain Rule, given below, to find the derivative dx[f(g(x))) = f '(g(x))g'(x) For the given function sin 1(5x+ 1), the "inside" function is Sx + and the foutside" function is arcsin (a) Part 2 of 3 Recall that the derivative of y sin-1(x) is 1-(5x - 1)2
Find the derivative of...