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Let's start with the definition of sin(x) and cos(x). We're going to use t rather than x here to avoid confusion, but the idea is exactly the same.
Tak...
To sketch a polynomial function (a polynomial is a function involving powers of x, for example y = x3 + 2x2 - 13x + 10):
1. Start by differentiating the function to ...
Step 1: To differentiate an equation there is a simple rule to follow. For y=axn dy/dx=anxn-1. so for an example y=x3, dy/dx=3x2. Therefore we just apply thi...
When you are faced with an integral which is a product, such as x.cos(x), you may be able to integrate it by parts. The statement of the integration by parts is that:
∫u(dv/d...
Parametric equations are a set of equations which both depend on the same variable, such as t. An example of this would be:
x = 2t2+1 and y = t4-2
A...
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