The power rule is mainly used when we have variables raised to a numerical exponent, like x 2, x 5, x 1 2 x2, x−5, x21, etc. Here, we will solve 10 examples of derivatives by using the power …

We will also prove the general formula of the power rule and understand its application with the help of various solved examples for a better understanding. Also, we will discuss some other …

How to Use the Power Rule for Derivatives. Examples and Interactive Practice Problems. Power Rule for Derivatives: $$\displaystyle \frac d {dx}\left ( x^n\right) = n\cdot x^ {n-1}$$ for any …

Here is the Power Rule with some sample values. See the pattern? etc... Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and …

The power rule in calculus helps us find the derivative of power functions in a few seconds. Master this technique and try out examples here!

Jul 23, 2025 · This article covers the Power Rule, including its formula and derivation, solved examples, applications in calculus, and various commonly asked curious questions related to …

The power rule is a fundamental calculus rule to find the derivative of a function in exponential form, i.e., f (x)=xn. The rule states that to find the derivative, we bring the exponent down as a …

Feb 15, 2021 · Let’s look at a few more examples to get a better understanding of the power rule and its extended differentiation methods. Use the power rule to differentiate each power function.

How to use the Power Rule, Sum Rule, Difference Rule are used to find the derivative, when to use the Power Rule, Sum Rule, Difference Rule, How to determine the derivatives of simple …

Learn the power rule in calculus. A clear explanation with formula, step-by-step guidance, and practical examples including negative and fractional exponents.