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First, bring the x to the numerator (top) as x^(-3). Then use the chain rule: State the first times derivative of the second plus state the second times the derivative of the first.State sin(x), then mult...

1. The minus sign indicates that the answer is a reciprocal meaning basically 1 over.2. Next, on inspection of the fraction, the 2 on top means that you square the number, times it by itself...

Differentiate each term in the equation separately then put then put the differentiated equation back together.First we start with (2x³):2 x 3 = 6 and 3-1=2 so we get the differentiated term of...

The general rule for differentiation is multiply by the power and decrease the power by one.
So if we take each term individually starting with 5x^2, and multiply by the power giving 10 then reduce t...

There are 2 methods of solving this: completing the square or calculus, which makes this a versatile question for both GCSE and A Level students. It is also fairly simple to adapt.
Using calculus, th...