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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 /...

The method we use to differentiate this form of equation is called the chain rule.

The chain rule is dy/dx = dy/du x du/dx

We can rememeber the right way up of the terms on ...

This is a quadratic equation and as such it has zero, one or two solutions depending on the value of the discriminant (b²-4ac). In this equation, a=3, b=-6 and c=2 so b²-4ac = 36-...