Nx^(n-1) in AP Calculus AB/BC

Definition

The term "nx^(n-1)" represents the derivative of a power function, where n is a constant and x is the variable. It indicates how the rate of change of the function varies with respect to x.

Related terms

f(x) = x^n: This term refers to a power function where n is a constant and x is the variable. It represents an equation that can be differentiated using nx^(n-1).

Derivative:

The derivative measures how a function changes as its input (x-value) changes. It gives us information about the slope or rate of change at any given point on the graph.

Exponentiation: Exponentiation involves raising a number or expression to a power. In this context, it relates to how we manipulate and differentiate functions involving powers.