# Mean Value Theorem and Rolle’s Theorem

The mean value theorem allows us to easily understand a number of useful facts about a function, such that it is continuous and differentiable. It’s…

# Maximum and Minimum Values

Now that we know how to take derivatives, we can start to learn about applications of them. One important application of derivatives is the ability…

This page will serve as a practice test for derivatives. We will go over some common derivative problems and see fully worked solutions for how…

# Derivatives of Exponential and Logarithmic Functions

The final derivative type that we need to investigate is the derivatives of exponential and logarithmic functions. First, let’s refresh on the definition of exponential…

# Implicit Differentiation

So far, we have seen functions that are easy to isolate for one variable. We typically have functions in the form of f(x) = [stuff]…

# The Chain Rule

With our current derivative rules, there are still some functions that we can’t take the derivative of. Take for example . We know how to…

# Derivatives of Trigonometric Functions

We will next take a look at trigonometric functions, and how we can find derivatives for them. I will first present a table of derivatives,…

# The Product and Quotient Rule

The product rule allows us to find the derivative of two functions being multiplied together. This is helpful for functions that are tough to simplify,…

# Derivatives of Polynomials

As derivatives are an important concept, it is beneficial to understand the laws and properties that exist for them, so that we can evaluate derivatives…

# Definition of a Derivative

Our goal in differential calculus is to be able to find a line tangent to any function. This can be achieved using a derivative. A…