The First Derivative Test: Finding Relative Extrema
First up, we're talking about the First Derivative Test, your go-to tool for finding relative maximu
The Second Derivative Test: A Shortcut for Extrema
Alright, sometimes, the First Derivative Test can be a little clunky, especially if your first deriv
Concavity and Inflection Points: The Function's Bendiness
Beyond just going up or down, functions have a certain 'bendiness' to them, and that's what concavit
Sketching Graphs & The Grand Synthesis of f, f', f''
Alright, this is where all those individual pieces we've been collecting come together to form a bea
Introduction to Optimization Problems: Maximizing and Minimizing
Now we move from analyzing functions to *using* calculus to solve real-world problems! Welcome to op
Solving Optimization Problems: The Calculus Strikes Back!
Okay, you've set up your optimization problem, you've got your objective function in one variable, a
Introduction to Related Rates: Dynamic Changes!
Alright, let's wrap up this unit with one of the most dynamic and exciting applications of different