Most of the functions we encounter in mathematics are more complicated than being simply constant, a power of a variable, or a base raised to a variable power.
In this section and several following, we will learn how to quickly compute the derivative of a function constructe as an algebraic combination of basic functions.
For instance, we’d like to be able to understand how to take the derivative of a polynomial function such as p(t) = 3t5 - 7t4 + t2 - 9, which is a function made up of constant multiples and sums of powers of t. To that end, we develop two new rules: the Constant Multiple Rule and the Sum Rule.
In this section and several following, we will learn how to quickly compute the derivative of a function constructe as an algebraic combination of basic functions.
For instance, we’d like to be able to understand how to take the derivative of a polynomial function such as p(t) = 3t5 - 7t4 + t2 - 9, which is a function made up of constant multiples and sums of powers of t. To that end, we develop two new rules: the Constant Multiple Rule and the Sum Rule.
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