Derivatives
Inverse Functions
Natural
Logarithms
Logarithms
Integrals
Sequences and Series
Fun Math Problems
200
f'(x)=5x^3
15x^2
200
What is the First you look at to determine if the Function is an Inverse Function?
It must be One to One.
200
What Property of Logarithiuthms is this:
logb(a*c)=logb A+logb C
Product
200
intx^6dx
x^7/7+c
200
What are the different types of sequences?
Arithmetic and Geometric
200
Solve this Riddle:
I am an Odd number. Take away one letter, and I become even. What number am I?
7 "Seven"
400
f''(x)=18x^3-6x^2
108x-12
400
y=x3+2
f^-1(x)= ^(3)sqrt(x-2)
400
f(x)=ln(4x)
f'(x)=1/x
400
int(2y)/(y^2-25)dy
ln|y^2-25|+c
400
If the series is centered at zero, what series is it called?
Maclaurin Series
400
How many feet are in a mile?
5,280 feet
600
f'''(x)=2x^5-5x^4+8x^3-3x^2
120x^2-120x+48
600
Yes or No? Given the functions are they inverses of each other?
f(n)=2(n-2)^3
g(n)= (4+ ^3sqrt(4n))/2
Yes
600
f(x)=5ln(x^3)
f'(x)=15/x
600
int e^(-5x)dx
-1/5e^(-5x)+c
600
sum_(n=4)^oo 1/((3)sqrt(n^4))
Converges by the P-series Test
600
Solve this:
9-3 divide1/3+1
1
800
y=ln sqrt((x^2+1)/(x+3))
y'=(x/(x^2+1))-(1/(2(x+3)))
800
Given the function Find a value where f(x)=-1 the determine the value of f -1(-1)
f(x)=x^3-2/x
(f^-1)^'(-1)=1/5
800
y=cosln4x^3
(-3sinln4x^3)/x
800
intx^3e^(x^4)dx
1/4e^(x^4)+c
800
Determine if the series converges or divereges?
sum_(n=7)^oo 4/(n^2-2n-3)
Converges by Limit comparsion Test
800
87.
1000
x^2sqrt(1-x^2)
f'(x)=(2x-3x^3)/((1-x^2)^(1/2)
1000
Evaluate this Inverse Trig Function:
sin^-1((-sqrt2)/2)
-45o or
-pi/4
1000
Using Log differentiation solve for Y:
y=sqrt(x+3) Sinx
dy/dx= sqrt(x+3) (sinx) [1/(2(x+3))+cotx]
1000
Integrate:
f(x)=9x^11+4x^6-9x^2-3
F(x)=3/4x^12+4/7x^7-3x^3-3x+c
1000
Determine if Divergent or Convergent with the Given Function:
limntooo (3^n/(7n^2-5))
It Diverges because
oo/14 or DNE
1000
Find all xs for this quadratic equation? (May have to use Formula)
11k^2+4k-52=10k^2-7
{5,-9}