Derivatives
Learn deratives intuitively with these videos
- The Essence of Calculus
- The paradox of the derivative
- Derivative formulas through geometry
- Visualizing the chain rule and product rule
- What’s so special about Euler’s number e?
- Implicit differentiation
Sum, product and composition
Sum rule
$$ {d \over dx}(g(x) + h(x)) = {dg \over dx} + {dh \over dx} $$
$$ f’(g(x) + h(x)) = g’(x) + h’(x) $$
Product rule
Chain rule
Exponents and Euler’s number
$$ {dX \over dt} f(x)
$$ $$
\lim_{dt \to 0} $$
Implicit differentiation
Suppose you have a set of points defined by the expression $x^2 + y^2 = 5^2$. This set of points forms a circle. How do you take the derivative of a point of that range? $x^2 + y^2 = 5^2$ is not a function.
