What are some important calculus formulas I should know?
An example of an AI chatbot conversation about calculus formulas and their applications.
What are some important calculus formulas I should know?
Some key calculus formulas include the power rule, product rule, quotient rule, and chain rule. Would you like details on any specific one?
Can you explain the power rule?
Sure! The power rule states that if you have a function f(x) = x^n, then its derivative f'(x) = n*x^(n-1). This is useful for finding slopes of curves.
What about the chain rule?
The chain rule is used to differentiate composite functions. If you have f(g(x)), the derivative is f'(g(x)) * g'(x). It helps in dealing with nested functions.
Are there any formulas for integration?
Yes! Some important integration formulas include the power rule for integration, ∫x^n dx = (x^(n+1))/(n+1) + C, and the basic integral of e^x, which is e^x + C.
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