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QUOTIENT RULE: [u(x) / v(x)]' = [u'(x)v(x) - u(x)v'(x)] / v²We have: u(x) = x⁴ - 1, hence u'(x) = 4x³v(x) = x⁴ + 1, hence v'(x) = 4x³So we have: [(4x...

For this question it is key to remember the indices laws. The ones you need to recall for this question are: x^a / x^b = x^{a - b}, and (x^a)^b = x^{a * ...}

= We start by halfing the 10 and putting x + 5 in a bracket = (x + 5)^2 = Opening these brackets give us x^2 + 10x + 25 = To make the 25 the same as - 3 we have to minus 28 = Therefore the answer is = (x ...

dy/dx = 4x - 12
x-coordinate= 5 so sub in
20-12 = 8

Since the equation for y is given in the format y=u/v, the use of the quotient rule is the easiest way to find the differential of this equation. The quotient rule states, (vu'-uv')/v^2 is equal to the di...