## Partial Derivatives

Imagine you’re faced with the following function… …and asked to take the derivative with respect to y. How can you do that, considering that we’ve … Read More

## Integrals with u-substitution

Consider taking the integral of the following function: Notice any issues? Any roadblocks we may run into? It’s easy enough to take the integral of … Read More

## Definite Integrals

Recall the function f(x) that we worked with in Riemann Sums and Trapezoid Rule. When applying Riemann Sums (utilizing rectangles)… …and the Trapezoid Rule (utilizing … Read More

## Integrals with Trapezoid Rule

In the Integrals with Riemann Sums article, we used rectangles to estimate integrals. Another common shape used to estimate integrals visually is trapezoids! This operates … Read More

## Integrals with Riemann Sums

Imagine we’re traveling out west for a hiking trip, and throughout the entire road trip, we were traveling a constant 30mph, represented by f(x) below: … Read More

## Sign charts (extrema & inflection)

We use sign charts to pinpoint important x-values on a given function. They are especially useful when we’re not given a visual of the function … Read More

## Function Sketching

When prompted with a function sketching question like so… Question: Sketch a graph of the function y = f(x) where f(x) is concave down and … Read More

## Integrals with initial condition

At the end of Integrals, we took the intergral of the marginal cost function, x/5… …resulting in the following equation for total cost. The +C … Read More