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Remember the rules for differentiation?

We take each term which looks like axⁿ where a and n are just numbers and we turn it into: (an)x^n-1

So for this...

There is no need to solve the quadratic equation here. Use the formulae for the sum and product of roots where:

a+b = -b/a

and

ab = c/a

Therefore...

First eliminate fractions;

    Multiplying both sides by (x-4) gives;

    (2x+3)-((2x-8)(x-4))/(2x+1)=(x-4)

    Multiplying both sides by (2x+1) gives;

To begin we calculate the third unknown angle in the triangle by taking the two known angles (45.1 and 51.2) away from 180 degrees (remember the interior angles of a triangle sum to 180). We find this ...

23  35  47  59  ?First we need to find the pattern in the sequence. We can do this by working out the gaps between the numbers. To work out the gap, we subtract each number from the next one in the sequen...