Power Rule
What is the Power Rule?
Power Rule is an important formula in the calculation of differentiation, where we can differentiate function with any power.
What is the Formula for the Power Rule?
The mathematical formula of power rule can be written as:
[Tex]\bold{\frac{d(x^n)}{dx}=nx^{n-1} } [/Tex]
What is the Difference between the Power Rule and the Chain Rule?
The power rule and chain rule are two very different formulas for the calculation of differentiation, where the power rule is used for functions with exponents whereas the chain rule is used to differentiate the composite functions.
Can Power Rule be used to find the derivative of a function with a negative exponent?
Yes, Power rule can be used to find the derivativeof a function with negative expoenet.
Can Power Rule be applied to functions with non-integer exponents?
Yes, the power rule can be applied to the functions with non-integer exponents.
Power Rule
Power Rule is a fundamental rule in the calculation of derivatives that helps us find the derivatives of functions with exponents. Exponents can take any form, including any function itself. With the help of the Power Rule, we can differentiate polynomial functions, functions with variable exponents, and many more.
It is a very diverse tool in the arsenal of students who want to learn the process of differentiation. 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.
Table of Content
- Power Rule Formula
- Power Rule for Non-Integers
- Derivation of Power Rule
- Applications of Power Rule
- Other Power Rules in Calculus