What are the basic rules for finding derivatives in calculus?

What are the basic rules for finding derivatives in calculus?

The basic rules for finding derivatives include the power rule, product rule, quotient rule, and chain rule.

Can you explain the power rule in more detail?

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

What about the product rule? How does that work?

The product rule states that if you have two functions u(x) and v(x), then the derivative of their product is u'v + uv'.

Can you give me an example using the product rule?

Of course! If u(x) = x^2 and v(x) = sin(x), then the derivative is u'v + uv' = 2xsin(x) + x^2cos(x).