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)= -x^3-5x^2-8x+48
find the intercepts for f(x), determine the end behavior for
f(x), find the relative extrema using the first test must show the
sign chart for f(x), find the points of inflection for f(x), sketch
the graph of f(x) and include all of those above
1) Find all of the second partial derivatives of
f(x,y)=3(x^4)y-2xy+5x(y^3).
2) Find an equation of the tangent plane to z=32-3(x^2)-4(y^2)
at the point (2,1,16).
Factor the following:
a) f(x)=x^5+5x^4-21x^3-137x^2-88x+240, knowing that f(5)=0 and
f(-3)=0.
b) f(x)=x^3+8x^2+5x-50
c)f(x)=-x^4-4x^3+19x^2+46x-120, knowing that (x+5) and (x-2) are
factors.
f(x) =2x^5-5x^4-10x^3+1 is defined as all real numbers
a) find the intervals where F is increasing and
decreasing
b) find the intervals where F is concave up and concave
down
c) find the local maximum, minimum and the points of
inflection.
d) find the absolute maximum and minimum of F over
[-2,2]
Let f(x) = 5x+3 and g(x) =2x-5. Find (f+g)(x),(f-g)(x),(fg)(x),
and (f/g) (x). Give the domain of each.
(f+g) (x) =
(f-g)(x) =
(fg)(x) =
(f/g)(x) =
The domain of f+g is_
The domain of f-g is_
The domain of fg is _
The domain of f/g is _
Please at the end provide showed work.
Consider the function f(x)f(x) whose second derivative is
f''(x)=5x+10sin(x)f′′(x)=5x+10sin(x). If f(0)=4f(0)=4 and
f'(0)=4f′(0)=4, what is f(5)f(5)?. show work
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative. f '(x)=
b. Find f '(3)=
8.
Let f(x)=(x^2−x+4)^3
a. Find the...