Here are useful rules to help you work out the derivatives of many functions (with examples below). Note: the little mark ’ means derivative of, and f and g are functions.

We begin by applying the rule for differentiating the sum of two functions, followed by the rules for differentiating constant multiples of functions and the rule for differentiating powers.

What is the difference rule? The difference rule allows us to differentiate expressions that can be expressed as the difference between simpler functions. One of the most helpful techniques in …

What are the basic differentiation rules? The Sum rule says the derivative of a sum of functions is the sum of their derivatives. The Difference rule says the derivative of a difference of functions …

The Difference Rule is a fundamental principle in calculus that allows for the differentiation of the difference between two functions. It states that the derivative of a difference of two functions is …

Nov 1, 2025 · Here are the differentiation rules for the sum and difference of two functions: If f and g are two differentiable functions at x then. d d x [f (x) + g (x)] = d d x [f (x)] + d d x [g (x)] and d …

Here are very important rules of differentiation such as the product rule, quotient rule, sum rule, difference rule, etc, and these rules are used for different combinations of the above …

In these lessons, we will learn the basic rules of derivatives (differentiation rules) as well as the derivative rules for Exponential Functions, Logarithmic Functions, Trigonometric Functions, …

The following rule allows us the find the derivative of the difference of functions whose derivatives are already known. If <! [C D A T A [f (x)]]> and <! [C D A T A [g (x)]]> are differentiable …

Feb 8, 2025 · Learn the Sum and Difference Rule in differentiation. Understand how to differentiate sums and differences of functions with step-by-step examples.