Derivatives (Calculus BC)

Definition of Derivative : f'(x) = lim h->0 (f(x+h) - f(x))/h

Alternate Derivative at a Point : f'(a) = lim x->a (f(x) - f(a))/(x - a)

f'(cosx) : -sinx

f'(tanx) : sec^2x

f'(x^2) : 2x

f'(x^3) : 3x^2

Left handed derivative : f'-(x) = lim h->a- (f(x) - f(a))/(x - a)

Right handed derivative : f'+(x) = lim h->a+ (f(x) - f(a))/(x - a)

f'(f(g(x))) : f'(g) * g'