Find the derivative. It may be to your advantage to simplify...

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Key Concepts

Power Rule

The power rule is a basic rule of differentiation which states that the derivative of x raised to the nth power is n*x^(n-1) for any constant exponent n. This rule is widely used when dealing with polynomial functions, simplifying the process of finding their derivatives.

Derivative of the Natural Logarithm

The derivative of ln(x) is 1/x. This fundamental result is essential when differentiating functions that involve logarithms and is often applied in problems where logarithmic functions appear either by themselves or in combination with other functions.

Constant Multiple Rule

The constant multiple rule states that the derivative of a constant multiplied by a function is the constant multiplied by the derivative of the function. This rule simplifies the differentiation process by allowing constants to be factored out of the derivative operator.

Sum Rule

The sum rule for differentiation states that the derivative of a sum of functions is the sum of the derivatives of those functions. This property allows for the individual differentiation of each term in a combined function, facilitating easier computation of the overall derivative.

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