1the slope of a curve can be found by doing what to the function y?
taking its derivative
2how can you find where a function crosses the y-axis?
find the derivative and use x = 0 to find y value
3what is a foci point?
2 points whose sum of distances from any point on the ellipse is always the same
4what is the derivative of a constant?
0
5what is the derivative of x^n
nx^(n-1)
6what is the derivative of [cf(x)]?
cf'(x)
7what is the derivative of [f(x)g(x)]?
f(x)g'(x) + f'(x)g(x)
8what is the derivative of [f(x)(x)]?
[f(x)g'(x) + f'(x)g(x)]/[g(x)^2]
9what is the derivative of f(g(x))?
f'(g(x))g'(x)
10if f'(c)=0 or f'(c) doesn't exist, then what is x=c?
a critical point
11what is the general form of integration by parts?
integral of udv = uv - integral of vdu where u = f(x), v = g(x), du = f'(x), and dv = g'(x)
12what is the general form of integration by substitution?
integral of f(u)du where u = g(x) and du = g'(x)