Mastering The Power Rule Of Differentiation: Simplifying Derivatives Of Functions With Constant Powers

Power Rule:d/dx [x^n] = ___________________

nx^n-1

The power rule of differentiation states that the derivative of a function f(x) that is of the form f(x) = xn (where n is a constant) is equal to nx^(n-1). Therefore, the answer to the derivative of x^n with respect to x is:

d/dx [x^n] = nx^(n-1)

More Answers:
Differentiability: Definition, Implications, And Relationship With Continuity
The Sum And Difference Rules Of Differentiation In Calculus: Simplify Derivatives With Ease
Mathematical Foundations: Derivative Of A Constant Explained With Simple Examples

Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded

Share:

Recent Posts

Mathematics in Cancer Treatment

How Mathematics is Transforming Cancer Treatment Mathematics plays an increasingly vital role in the fight against cancer mesothelioma. From optimizing drug delivery systems to personalizing

Read More »