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First let y=ln(x).

Recall that the exponential function, e^x, is defined as the inverse of the logarithmic function, ln(x).

To make x the subject of the formula, u...

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=anx^n-1. so for an example y=x³, dy/dx=3x^2. 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...