# Search Results for “Polar-function”

##### Function composition challenge 5

Can you find the function f, so that f(sin(x)) matches the grey curve?##### 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.##### Function Product Challenge 3

This time h(x) is unknown. Can you find f(x) so that f(x)*sin(x) = h(x)?##### 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!!)##### 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.