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Okay so consider (2 + x)^-1, we can only do the expansion we know if the bracket starts with a 1, to fix this we can factor a 2 out of the bracket so that it becomes (2(1 + x/2))^-1. Then by our rules of ...

Proof by induction is a type of proof in which one tries to proof a statement is valid for any arbitrary number of n by first proving for k and then trying to further extrapolate this into a valid stateme...

As this is not in the common form and is HomogeneousStudents should be confident to understand what differentiation does.Using the quotient rule as well as implicit differentiation we look at each part of...

x(x+1) - x(x-1)/(x-1)(x+1)x²+x-x²+x/(x-1)(x+1)2x/x²+x-x-12x/(x²-1)

First differentiate the equation: dy/dx = 6x^2 - 6xSet this equal to 0 as at turning points the change in gradient is 0: 0 = 6x^2 - 6x6x(x-1)=06x=0 therefore x=0(x-1)=0 therefore x=1x=1,0Now substitute ba...