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dy/dx = (2x-y²)/(2xy)Stationary points: (1, root(2)) , (1, -root (2))

A local extreme point would mean that f'(1)=0. Since integration is the inverse application of derivation, to obtain f'(x) function we integrate the f''(x) function. Bearing in mind the integration rule o...

First, we simply label the two equations as 'Equation 1' and 'Equation 2' respectively. So we have: Equation 1: 2x + y = 18and Equation 2: x - y = 6. In simultaneous equations, there are two variables: x ...

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...