A piece of wire 10 m long is cut into two pieces. one piece is bent into a square and the other is bent into a circle
How should the wire be cut so that the total area enclosed is (a) a maximum? (b) A minimum?
If f and g are the functions whose graphs are shown, let
u(x) = f(g(x)),
v(x) = g(f(x)), and w(x) = g(g(x)).
Find each derivative, if it exists. If it does not exist, explain why. (If an answer does not exist, enter DNE.)
(a)
u'(1) =
It does exist.u'(1) does not exist because f '(1) does not exist. u'(1) does not exist because g'(1) does not exist.u'(1) does not exist because f '(3) does not exist.u'(1) does not exist because g'(2) does not exist.
(b)
v'(1) =
It does exist.v'(1) does not exist because f '(1) does not exist. v'(1) does not exist because g'(1) does not exist.v'(1) does not exist because f '(3) does not exist.v'(1) does not exist because g'(2) does not exist.
(c)
w'(1) =
It does exist.w'(1) does not exist because f '(1) does not exist. w'(1) does not exist because g'(1) does not exist.w'(1) does not exist because f '(3) does not exist.w'(1) does not exist because g'(2) does not exist.
Y=(4x+3)^4 (x+1)^-3 find the first and second derivatives