MATH 132 Lecture Notes - Lecture 6: Quotient Rule, Product Rule, Power Rule

• School: Ball State University
• Department: Mathematical Sciences
• Course: MATH 132
• Professor: Robin Rufatto

Document Summary

When the function with which we"re working is actually the product of two other functions, we might have to use another method for finding the derivative of it. If u and v are differentiable functions of x, then d dx uv uv vu. Keep in mind that this is not a proof of the product rule but only an example. We got the same derivative using both methods. You may use whichever method is appropriate for the function in question, unless instructed otherwise. Use the product rule to find the derivative of f x. We also need a special rule for finding the derivatives of rational functions. Quotient rule if u and v are differentiable functions of x, then d u dx v u v v u. In this case u = 1 and v = u = and. Therefore the derivative is __________________ = ________________________ = ___________________