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C1, C2, C3, C4

M1, M2, M3

S1, S2, S3

FP1, FP2

When proving trigonometric identites, we must show that the left hand side of the equation = the right hand side. Here we will start with the left hand side (LHS) and show that it is equivalent to the rig...

Rule of differentiating is to times down by the power and then reduce it by one.

Firstly we will handle the 2x^​5​:

(2*5)x^5-1=10x^​4

This is an implicit function, meaning the x and y terms are not able to be seperated onto different sides, i.e. y=f(x). Therefore, we must use implicit differentiation. B...

There are some very useful rules when dealing with partial fractions1) For every linear factor such as ax + b in the denominator, there will be a partial fraction of the form A /...