Consider the function f(x, y) = 4xy − 2x 4 − y
2 .
(a) Find the critical points of f.
(b) Use the second partials test to classify the critical
points.
(c) Show that f does not have a global minimum.
If f(x)=2x^2−5x+3, find
f'(−4).
Use this to find the equation of the tangent line to the parabola
y=2x^2−5x+3 at the point (−4,55). The equation of this tangent line
can be written in the form y=mx+b
where m is: ????
and where b is: ????
F(x) = 0 + 2x + (4* x^2)/2! + (3*x^3)/3! + .....
This is a taylors series for a function and I'm assuming there
is an inverse function with an inverse taylors series, I am trying
to find as much of the taylors series of the inverse function
(f^-1) as I can
part 1)
Let f(x) = x^4 − 2x^2 + 3. Find the intervals of concavity of f
and determine its inflection point(s).
part 2)
Find the absolute extrema of f(x) = x^4 + 4x^3 − 8x^2 + 3 on
[−1, 2].