Best Shortcuts of Derivatives

The Top Ten

1 d/dx(a*x^b) = (b*a)*(x^(b-1))

What is this? I don't even

2 d/dx(f(g(x))) = f'(g(x)) * g'(x)

3 d/dx(a*b^x) = (ln(b)*a) * (b^x)

4 d/dx(f(x)*g(x)) = f'(x)*g(x) + g'(x)*f(x))

5 d/dx(f(x)+g(x)) = f'(x) + g'(x)

6 d/dx(f(x)/g(x)) = ((f'(x)*g(x)) - (g'(x)*f(x))) / g(x)^2

7 d/dx(a*f(x)) = a * f'(x)

8 d/dx(tan(x)) = sec^2(x)

9 d/dx(sin(x)) = cos(x)

10 d/dx(cos(x)) = -sin(x)

The Contenders

11 d/dx(ln(x)) = 1/x

BAdd New Item