Formula Sheet

d/dx [c] =

• 0 (where c is a constant)

d/dx [x] =

• 1

d/dx [x^n] =

• n * x^(n-1) (where n is a real number)

d/dx [e^x] =

• e^x

d/dx [u v] =

• u (dv/dx) + v * (du/dx) (where u and v are functions of x)

d/dx [u / v] =

• (v (du/dx) - u (dv/dx)) / (v^2) (where u and v are functions of x)

d/dx [sin(x)] =

• cos(x)

d/dx [cos(x)] =

• -sin(x)

d/dx [sec(x)] =

• sec(x) * tan(x)

d/dx [csc(x)] =

• -csc(x) * cot(x)

d/dx [tan(x)] =

• sec^2(x)

d/dx [cot(x)] =

• -csc^2(x)