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The formula you are given is an equation which is written in terms of x. So we will be differentiating with respect to x. 

When differentiating we take the current power and place that in front of ...

dy/dx = 3x^2

The first step is to multiply out the brackets so the function is in a form that can be integrated. X x X² = X³ then X x 2 is simply 2X. So we are left with X³ + 2X. Both ...

To start, we use the inverse trigonometric formulae to convert the 'cot' function into a 'tan' function: cot(2x)=1/(tan(2x))=3 Inverting this gives: tan(2x)=1/3 2x=arctan(1/3)=18.43°or (180+18.43)° Therfo...

First, we have to know that if 2 lines are perpendicular, the product of their gradients is -1.

Next, we have to express the 2 equations in similar ways by rearranging them and making y the common ...