# Search Results for “Polar-function”

By Duncan
##### Function composition challenge 5
Can you find the function f, so that f(sin(x)) matches the grey curve?

Tags: Function-composition, trigonometry

By Duncan
##### Function composition challenge 5
Find f(x) such that f(sin(x)) matches the mystery curve.

Tags: function-composition, trigonometry

By Duncan
##### Function composition challenge 6
Find f(x) such that f(sin(x)) matches the mystery curve.

Tags: function-composition, trigonometry

By Duncan
##### Function Product Challenge 1
Can you define f(x) so that the red curve lies on top of the grey one?

Tags: functions, function-products, trigonometry

By Duncan
##### Newton Raphson 3 iterations
Look at the first three iterations of the Newton Raphson method starting from a point you determine on a function you define. You'll see that when it's good it's very very good and when it's bad its awful.

Tags: root, function, Newton

By Duncan
##### Function Product Challenge 3
This time h(x) is unknown.  Can you find f(x) so that f(x)*sin(x) = h(x)?

Tags: functions

By Duncan
##### function product challenge 2
Can you find f(x) such that f(x)*g(x) = h(x)  (Yes, you could use f(x) = h(x)/g(x), but be more elegant!!)

Tags: functions

##### Moving point
We watch a point move according to a given displacement graph (which we can edit)

Tags: function, motion, displacement

##### 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

##### Application of The Mean Value Theorem to problem solving
Given function f(x) = arctan (1-x) on the interval [0, 1].

Tags: calculus