Derivatives
First derivative of x^2
What is the integral of x dx
The integral is x^2/2+C
What is the sum of this series: 1-1+1-1+1-1+1-1+...
The series does not have a definite sum and instead diverges
What is the derivative of e^x
e^x
What is the integral from 1 to 4 of x dx
The integral is equal to 15/2
What is the sum of this series: 1+1/2+1/4+1/8+1/16+1/32+1/64+...+1/2^n+...
The sum is 1
What is the derivative of 3x^2-4x+7
The derivative is 6x-4
What is the integral of 4x^3 dx?
It is x^4+C
What is the sum of this series: 1+2/3+4/9+8/27+16/81+...
The series converges to 3
What is the limit as n approaches 2 of (n^2-4)/(n^3-8)
The limit is 2/3
What is the derivative of cos(x)+sin(x)
The derivative is -sin(x)+cos(x)
What is the integral of 1/x^2 dx or x^(-2)dx
-1/x+C or -1x^(-1)+C
Does this series converge(approach a numerical value) or diverge(doesn't approach a numerical value): 1/1-1/2+1/3-1/4+1/5-1/6+...
The series converges
What is the 3rd degree taylor polynomial of e^x?
1+x+x^2/2!+x^3/3!
What is the derivative of sin(x)cos(x)?
The derivative is cos(x)cos(x)-sin(x)sin(x)
What is the integral of 1/x dx or x^(-1) dx
The integral is ln(|x|)+C
Does this series converge or diverge: 1/1+1/2+1/3+1/4+1/5+...+1/n+...
It diverges
What is the integral of x^2(x^3+4)^5 dx
The integral is ((x^3+4)^6)/18