Limits
Limit as x approaches 0 of sin(x)/x
What is 1?
d/dx of e^x
What is e^x?
f' is ______ when f is increasing
What is positive
Integral of e^x
What is e^x
Product rule of h(x)*g(x)
What is h'(x)g(x)+g'(x)h(x)
One condition for a limit to exist
What is... (one-sided limits are equal, function must reach point, function must approach the point)?
Quotient Rule of f(x)/g(x)
(g'(x)f(x)-f'(x)g(x))/g(x)^2
Critical Values are found by wetting this to zero.
What is f'?
This letter is used when solving open integrals.
This is the derivative of velocity.
What is acceleration?
This is the first step to solving a limit to infinity/ -infinity.
What is checking the exponents?
This is the derivative of 13x^4
What is 52x^3?
This is how you find position given acceleration.
What is taking the double integral?
This is the integral of 1/x.
What is ln|x|+C?
This is a basic description of l'hop.
What is derive top and bottom?
This is the limit as x approaches 0 of (e^(x)-1)/x
What is 1?
This is the derivative of a^x.
What is ln(a)a^x?
This is how you find a position given an initial condition.
What is add the initial condition with displacement?
Integral of sec^2(x).
What is tan(x)+c?
What is 1/(1+x^2)?
Limit as x approaches infinity of (1+(1/x))^x.
What is e?
Chain rule of f(g(x))
What is f'(g(x))*g'(x)
The position of a particle at x=0 is given by the equation 5x^3+12. What is the velocity of the particle at t=0
What is 15x?
Integral of tan(x).
What is +/-ln|sec(x)|+C?
Formula for the area of a trapezoid.
What is A=(a+b)/2*h