Euclid's Muse

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Search Results for “planet-newton-orbit-calculus-kelper”

By Nick Halsey
Basic Derivatives
Drag the point to see how the slope of the line relates to the x value of the point at which it’s tangent to the function. Can you figure out what the function is, based on the values of the x and y coordinates? The slope of the line can also be represented in terms of x; can you figure out what this representation is? This representation is the derivative of the entire function, not just at a single point. This is called the derivative of the function, and can be notated by, for example, the derivative of F(x) = F’(x), although there are many other notations as well.

Tags: Calculus, Derivatives, Functions

By Nick Halsey
Vector Combinations and Span
AB and AC are vectors. Vector AF is defined by t(AB) + s(AC) where t and s are scalars. Drag E and D to change the scalars and see how using the scalars creates vectors in the plane defined by AB and AC.

Tags: Vectors, Scalars, Addition, Calculus, Draggable

By Irina Lyublinskaya
Application of Rolle's Theorem
Apply Rolle's Theorem to solve problems.

Tags: calculus

By Irina Lyublinskaya
Application of Rolle's Theorem
Apply Rolle's Theorem to solve problems. Given function C(x) = 6(1/x + x/(x+4)).

Tags: calculus

By Irina Lyublinskaya
Applications of Rolle's Theorem
Apply Rolle's Theorem to solve problem.

Tags: calculus


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