Question

1)Find F

f”(x)=-2+36x-12xsquer, f(0)=9, f’(0)=18

f(x)=?

2)Find a function f such that f’(x)=3x cube, and the line
81x+y=0 is tangent to the graph of f

f(x)=?

Answer #1

1. Let f be the function defined by f(x) = x
2 on the positive real numbers. Find the
equation of the line tangent to the graph of f at the point (3,
9).
2. Graph the reflection of the graph of f and the line tangent to
the graph of f at the point
(3, 9) about the line y = x.
I really need help on number 2!!!! It's urgent!

Find f.
f ''(x) = −2 + 36x −
12x2, f(0) =
8, f '(0) = 14

f(x)=3x^4-7x^2+2x+1
Find the tangent line at x=2

For the function f(x)=−3x^3+36x+6
(a) Find all intervals where the function is
increasing.
Answer: ff is increasing on=
(b) Find all intervals where the function is
decreasing.
Answer: ff is decreasing on=
(c) Find all critical points of f(x)
Answer: critical points: x=
Instructions:
For parts (a) and (b), give your
answer as an interval or a union of intervals, such as
(-infinity,8] or (1,5) U
(7,10) .
For part (c), enter your xx-values as a
comma-separated list, or none...

1. Find f. f ''(x) = 4 + 6x + 36x^2, f(0) = 2, f (1) = 13
f(x) =
2. What constant acceleration is required to increase the speed
of a car from 26 mi/h to 56 mi/h in 3 seconds? (Round your answer
to two decimal places.)
ft/s2

Find the equation of the tangent line to the graph of the
function f(x)=(x^2+8)(x−2) at the point (1,−9).
I thought it was re-writen as (2x^2 + 8)(x-2) then plugging in 1
for x and solving. I came up withit in slope form y = -20x - 1 but
says im wrong. What steps did i miss?

F(x,y) =<3x^2+ 3y^2,6xy+ 2.>
Find the potential function for F that satisfies the condition
f(0,1) = 0.

1. Consider the function.
f(x) = 6x − 9
(a) Find the inverse function of f.
(b) Graph f and f −1 on the same
set of coordinate axes.
(c) Describe the relationship between the graphs. The graphs of
f and f −1 are reflections of each
other across the line y =
(d) State the domain and range of f and f
−1. (Enter your answers using interval notation.)
2.
Consider the function.
f(x) = x+3/x
(a) Find the...

Use analytical methods to find all local extrema of the function
f(x)=3x^1/x for x>0.
The function f has an absolute maximum of ? at x=?
The function f has an absolute minimum of ? at x=?

Consider the function g(x) = |3x + 4|.
(a) Is the function differentiable at x = 10? Find out using
ARCs. If it is not differentiable there, you do not have to do
anything else. If it is differentiable, write down the equation of
the tangent line thru (10, g(10)).
(b) Graph the function. Can you spot a point “a” such that the
tangent line through (a, f(a)) does not exist? If yes, show using
ARCS that g(x) is not...

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