Show:
Derivatives
Limits
Integrals
Trigonometry
Basics
100
The derivative of x^3
What is 3x^2?
100
Having no definite or definable value
What is indeterminate
100
Added to the end of an indefinite integral
What is "+ C"?
100
d/dx[cotx]
What is -csc^2x
100
sin of 5pi/4
What is -√ 2 /2?
200
measures the instantaneous rate of change of the function
What is a derivative?
200
Limit as x approaches infinity (2x-1/x+1)
What is 2
200
the inverse of a derivative
What is an integral?
200
d/dx[cscx]
What is -cscxcotx?
200
The only even trigonometry function
What is cos(x)
300
The derivative of h(x)=(3x-2x^2)(5+4x)
What is h'=(3-4x)(5+4x)+(3x-2x^2)(4)?
300
The limit as x approaches 0 of ((the square root of (x+1)-1)/x)
What is 1/2
300
S (4x^5) dx
What is 2x^6/3 +C?
300
the derivative of y=-tanx
What is y'=1-sec^2x?
300
d/dx (cosx)
What is -sinx
400
The derivative of [arctan3x]
What is 3/(1+9x^2)?
400
Limit as x approaches infinity of sinx
What is DNE (oscillating)
400
S (sinxe^cosx) dx
What is -e^cosx +C?
400
the derivative of y=xsecx
What is y'=secx +xsecxtanx?
400
limit as h approaches 0 (sinh/h)
What is 1
500
The derivative of [y^3+y^2-5y-x^2]=[-4]
What is dy/dx=2x/(3y^2+2y-5)?
500
The limit as x approaches -infinity (2x^2-4x)/(x+1)
What is - infinity
500
1/a arctan u/a +C
What is S (du/a^2+u^2)?
500
The integral of (e^xcos(e^x))dx
What is sin(e^x)+C?
500
The Pythagorean Identity
What is sin^2(x)+cos^2(x)=1