How do you find a rate of change, in any context, and express it mathematically? You use differentiation. Tutorials in differentiating logs and exponentials, sines and cosines, and 3 key rules explained, providing excellent reference material for undergraduate study.

# Differentiating powers of x

If y=x^n then dy/dx = nx^n-1. This result is derived in this unit and illustrated with several examples, including cases where n is negative, or is a fraction. Video tutorial 14 mins.