Search over 10,000 free study notes

A derivative, in essence, is the gradient of a function at a point, usually denoted by dy/dx, or f'(x). It essentially means the rate of change of y with respect to x. As many functions are complex, we ca...

Expand and simplify (n + 2)³ − n³.
Write out the brackets in full:(n + 2)(n + 2)(n + 2) − n³
Use F.O.I.L. (...

Looking at the first element of the equation 5x⁶, we can simply multiply 6 by 5 to give 30 and subtract 1 from the power of x. So d/dx[5x⁶] ...