Calculus BC - idek

Power Rule

d/dx kxⁿ = knx^{n - 1}

Product Rule

f’(x)g(x) + f(x)g’(x)

Quotient Rule

[ f’(x)g(x) - f(x)g’(x) ] / [g(x)]²

Chain Rule

d/dx f(u) = f’(u) * du

d/dx sin(x)

cos(x)

d/dx cos(x)

-sin(x)

d/dx tan(x)

sec²(x)

d/dx sec(x)

sec(x)tan(x)

d/dx csc(x)

-csc(x)cot(x)

d/dx cot(x)

-csc²(x)

d/dx e^u

du * e^u

d/dx ln|x|

1/x

d/dx ln|u|

du/u

d/dx arcsin(x)

1 / sqrt(1 - x²)

d/dx arccos(x)

- [ 1 / sqrt(1 - x²) ]

d/dx arctan(x)

1 / (1 + x²)