What are some common mistakes students make in differentiation?

What are some common mistakes students make in differentiation?

Some common mistakes include forgetting the power rule, misapplying the product rule, and neglecting to simplify.

Can you explain the power rule?

Sure! The power rule states that if you have a function in the form of f(x) = x^n, the derivative f'(x) = n*x^(n-1).

What about the product rule?

The product rule is used when differentiating two functions multiplied together. If u and v are functions, then (uv)' = u'v + uv'.

How can I avoid these mistakes?

Practice regularly, double-check your work, and consider using visual aids like graphs to understand the functions better.