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cot is a short way to write 'cotangent'. This is the reciprocal of the  trigonometric function 'tangent' or tan(x).

Therefore, cot(x) can be simplified to 1/tan(x).

Using trigonometric...

Distance refers to how far an object has travelled in total during its motion.

Displacement refers to the object's overall change in position/ h...

Firstly you need to find the gradient and to do this you identify two points on the graph and the gradient is the change in the value of the y values divided by the change in the value of the x values...

You bring the power down to multiply by the existing coefficient of x =1 in this case, and then you reduce the existing power by 1 leaving you with dy/dx= 2x.