Question

f(x) = 3x^4-4x^3-3x^2-x-2

find the rational roots by the rational root test

Answer #1

Use the Rational Root Theorem to find all roots of f(x) = 4x 3 −
3x + 1.

Use the Rational Root Theorem to find all possible rational
roots then use Newton’s Method to find one rational root and then
synthetic division and the quadratic formula to find the any
remaining rational, irrational or complex roots.
Px=3x^5-8x^4-17x^3+38x^2+20x-24

find the following for the function f(x)=3x^2+4x-4
a. f(0) b. f(3) c. f(-3) d. f(-x) e. -f(x) f. f(x+2) g. f(4x) h.
f(x+h)

Find the antiderivative
f(x) = 3x^2 + 4x + 5
f(x) = 3 cos x
f(x) = e^2x + 4x^3
f(x) = sec^2 x

Let f (x) = 3x^4 −4x^3 −12x^2 + 1, deﬁned on R.
(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 maxima, the local minima, and the points of
inflection.
(d) Find the Maximum and Minimum Absolute of f over [−2.3]

1. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
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....

1. Given f(x)=2x^3-3x^2+4x+2, find (f^(-1))'(14).
Differentiate and Simplify
2. f(x)=ln(3x) e^(-x^2 ) (Answer with positive exponents
Integrate and Simplify 3. ∫▒(6x^2-5x)/√x dx

Find all the real roots of 6x^5 -x^4 + 2x^3 -3x^2 + 2x -18

find the equation of a tangent line(s) to the curve with slope 5
f(x)=x^3 + 3x^2 - 4x - 12
f'(x)= 3x^2 +6x - 4

Find fhe equation of the tangent lines with slope of 5
a) f(x)= x^3 + 3x^2 - 4x -12
b) g(x)= 3x^2 + 6x - 4

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