Derivative Rules¶

Sum rule:

d(t1 + t2 + t3 + ...)/dt = d(t1)/dt + d(t2)/dt + d(t3)/dt + ...

Difference rule:

d(t1 - t2 - t3 - ...)/dt = d(t1)/dt - d(t2)/dt - d(t3)/dt - ...

The derivative of a constant is zero: (beacuse there is no change in the equation)

d(c)/dt = 0

Multiplication by a constant:

d(c*t)/dt = c*d(t)/dt

The derivative of a linear equation is the line’s slope:

d(c*t)/dt = c        or d(t)/dt = 1

The derivative of a polynomial is a polynomial of one-less degree.

d(t^n)/dt = n*t^(n-1)