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!

1). Consider the following function and point.
f(x) = x3 + x + 3; (−2,
−7)
(a) Find an equation of the tangent line to the graph of the
function at the given point.
y =
2) Consider the following function and point. See Example
10.
f(x) = (5x + 1)2; (0, 1)
(a) Find an equation of the tangent line to the graph of the
function at the given point.
y =

f(x)= 3x ^ 2 -4
Find the equation of the tangent line to this function at x =
3.

1)Consider the function f(x)f(x) whose second derivative is
f″(x)=9x+8sin(x). If f(0)=4 and f′(0)=2, what is f(5)?
2) Consider the function f(x)=(7/x^3)−(2/x^5).
Let F(x) be the antiderivative of f(x) with F(1)=0.
3)Given that the graph of f(x) passes through the point (5,4)
and that the slope of its tangent line at (x,f(x)) is 3x+3, what
is f(2)?
Then F(2) equals

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

f(x) =x2 -x
use f'(x)=lim h->0 f(x+h) - f(x)/h
find:
1. f '(x)
2. f '(2)
3. Find the equation of a tangent line to the given function at
x=2
4. f ' (-3)
5. Find the equation of a tangent line to the given function at
x=-3

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

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

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...

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?

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