Question

the function f given by f(x)=2x^3-3x^2-12x has a relative
minimum at x=

Answer #1

4. Given the function y = f(x) = 2x^3 + 3x^2 – 12x +
2
a. Find the intervals where f is increasing/f is
decreasing
b. Find the intervals where f is concave up/f is concave
down
c. Find all relative max and relative min (state which
is which and why)
d. Find all inflection points (also state
why)

use
the second derivative test to find the reltive extrema if any f(x)=
2x^3-3x^2-12x+5

Determine whether f(x)=3x^5-5x^3 has a relative maximum or
relative minimum at x=0

For the rational function f(x)= (3x^3 - 27x^2 + 60x) / (2x^2 +
2x - 40) find the domain, x-intercepts, y-intercept, and vertical
asymptote/ vertical asymptotes.

For the curve f(x) = 2x 3 − 9x 2 + 12x − 5, find (i) the local
maximum and minimum values, (ii), the intervals on which f is
increasing or decreasing, and (iii) the intervals of concavity and
the inflection points.

1)
Find the equation of the line that psses through the vertex if the
parabola f(x)=2x^2-12x+19 and that crosses the x-axis at x=5
2) Find the equation of the line that passes through the
certex of the parabala f(x)=3x^2-12x+17 and has y-intercept of
(0,10)

Find f(x).
1. f''(x) = (1/3) x^3 −3x^2 + 6x
2. f''(x) = −1 + 6x−12x^2, f(0) = 4, f'(0) = 12
3. f'''(x) = sinx, f(0) = 1, f'(0) = 2, f''(0) = 3

Let f(x)=2x^3 - 9x^2 +12x -4
Find the intervals of which f is increasing or decreasing
Find the local maximum and minimum values of f
Find the intervals of concavity and the inflection points

(i) Given the function f(x) = x3 − 3x + 2
(a) What are the critical values of f?
(b) Find relative maximum/minimum values (if any). (c) Find
possible inflection points of f.
(d) On which intervals is f concave up or down?
(e) Sketch the graph of f.
(ii) Find a horizontal and a vertical asymptote of f(x) = 6x .
8x+3

suppose that f'(x)=3x^2+2x+7 and f(1)=11. find the function
f(x)

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