Derivatives of functions are computed using differential calculus. A derivative in calculus is defined as “the rate of change of quantity y with respect to quantity x”. This sounds very similar to the ...

A derivative is a function which measures the slope. It depends upon x in some way, and is found by differentiating a function of the form y = f (x). When x is substituted into the derivative, the ...

\begin{equation*} \displaystyle f^\prime(a)=\lim _{h\to 0}\frac{f(a+h)-f(a)}{h}=\lim_{x\to a}\frac{f(x)-f(a)}{x-a}\text{.} \end{equation*} Solve the following ...

Short little animation of the limit definition of a derivative. I like to coin the moment when my AP calculus teacher showed us this derivation as the moment that I fell in love with math. I already ...