ANSWERS LATEST UPDATE
limit definition
f(x+h) - f(x) / h
parametric equations for ferris wheel
x(t) = a * sin(t)
y(t) = a * -cos(t) + k
derivative of tan(x)
sec2(x)
derivative of cot(x)
-csc2(x)
derivative of sec(x)
sec(x)tan(x)
derivative of csc(x)
-csc(x)cot(x)
derivative of a^x
(a^x)ln(a)(da/dx)
derivative of ln(a)
1/a * (da/dx)
derivative of log a (u)
1/(u ln(a) (du/dx)
recursive arithmetic sequence
a(n+1) = a(n) + d
explicit arithmetic sequence
a(n) = a(1) + d(n-1)
recursive geometric sequence
a(n+1) = a(n)*r
explicit geometric sequence
a(n) = a(1) * r^(n-1)