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Applications of the Derivative
Students explore applications of the derivative. In this calculus lesson students explore two common applications of the derivatives, optimization and related rates.
3 Views 16 Downloads
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
9th - Higher Ed Math CCSS: Adaptable
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
11th - Higher Ed Math CCSS: Adaptable
New Review Addition and Subtraction Formulas 2
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
11th - 12th Math CCSS: Designed
Trigonometry and the Pythagorean Theorem
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
9th - 11th Math CCSS: Designed
Saxon Math: Algebra 2 (Section 6)
Section six in this series of twelve units takes a turn toward modeling, with lessons on exponential growth and decay, determining angle of rotation, and linear programming. Theory isn't neglected, however, as learners also confront...
9th - 12th Math CCSS: Adaptable
Rolle’s Theorem and the Mean Value Theorem
Using the derivative to apply the Mean Value Theorem and its more specific cousin, Rolle's Theorem, is valuable practice in determining differentiability and continuity on an interval. This presentation and accompanying worksheet walk...
10th - 12th Math CCSS: Adaptable
Extreme Derivative Word Problem (advanced)
Sal shows the complex solution to a challenging derivative problem about ï¿½normalinesï¿½. This is probably beyond the scope of most first year calculus students but might be an interesting problem to show how complex these problems can...
4 mins 11th - Higher Ed Math
Intervals of Increase and Decrease
How can you find the intervals that a function increases or decreases without using a graphing calculator? The first installment of a 13-part video series focuses on the applications of the derivative. Viewers first learn the connection...
2 mins 11th - Higher Ed Math