Derivatives of Power Functions - Concept

Concept Concept (1)

The derivative of a power function involving x to the nth power (n being non-zero) can be derived using the definition of the derivative. The power function derivative is equal to x to the (n-1)th power times n. Many polynomial derivatives are based on derivatives of multiple power functions.

Sample Sample Problems (3)

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Derivatives of Power Functions - Problem 1
Problem 1
How to compute the derivatives of several power functions, including negative and fractional powers.
Derivatives of Power Functions - Problem 2
Problem 2
How to compute the derivative of f(x) = x^(-2) and how to find an equation of the line tangent to its graph at x= -2.
Derivatives of Power Functions - Problem 3
Problem 3
How to compute the derivative of f(x) = x^(1/2) and how to find an equation of the line tangent to its graph at x= 9.