In this problem, I use derivatives to find the local maximums and minimums of a function and determine the intervals on which the function is concave up or concave down.
-
Tags
absolute value Brain calculus chain rule complex numbers definition of a derivative derivation derivative derivatives differential calculus distributive law Eric exponential functions gauss elimination graph graphing Health holes inequalities integral calculus limits linear approximation lines logarithms matrices neurology Ninja Tips number sense optimization parabolas Pencast piecewise functions plotting polynomials power rule quadratics rational functions related rates slope Study Habits Studying Time Management transformations trigonometric function trigonometric functionsCategories
- Algebraic Expressions
- Algorithms
- Audio
- Binary Arithmetic
- Calculus
- College Algebra
- Complex Numbers
- Differential Equations
- Distance and Circles
- Factoring, Roots
- Featured
- Function Operations
- Inequalities
- Interactive App
- Linear Algebra
- Linear Equations
- Linear Functions
- Lines
- Logarithms and Exponentials
- Media
- Ninja Tips
- Pencast
- Plotting, Graphs
- Polynomial Algebra
- Sequences
- Topics
- Trigonometry
- Uncategorized
- Video
- Written Tutorials
- Youtube Video


This pencast was pretty useful. He does a very good job of explaining that we cannot always rely on calculators to solve maximums and minimums for us, and therefore he presents another way of solving the problems. He also explains clearly that when the POI is concave down, or the second derivative is -, we have a maximum value. And of course, he explains vice versa for a minimum. It's also helpful that he walks you through the process of taking the derivatives.
this pencast was really helpful and made finding the second derivative, or the direction of the opening very easy. this was confusing to me at first, but now that ive seen it done so meticulously makes it easy to comprehend. Great pencast!
I wish I had seen this pencast earlier! The explanations were great and made a lot of sense. I fully believe that had I seen this pencast when I was having difficulty with max/min problems, I would have understood them sooner (seems like it took me a long time to grasp).