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Use differentiation to show the function f(x)=2x^3–12x^2+25x–11 is an increasing function for all values of x

Firstly, I would remember what differentiation shows - which is the rate of change of a function. I would think about how I could use this to show it's always increasing. Now the first derivative would sh...

Answered by • Further Mathematics tutor

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What is the equation of the tangent of the circle x^2+y^2=25 at the point (3,4)

GraphFirstly, if not drawn for you it would be best to draw the graph which is given to you (in this case you should notice is a c...

Answered by Alireza A. • Maths tutor

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Factorise the equation x^2 + 5x+6 = 0

(x+3)(x+2)

Answered by James W. • Maths tutor

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What is the point of bearings?

Imagine you want to sail a ship from Liverpool to new York. While sailing you will need to know precisely what direction you need to be travelling at every point(if you are out by one degree this could re...

Answered by Jamie S. • Maths tutor

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n is an integer such that 6-3n>18 and (-5n)/(n^2-6)>1. Find all the possible values of n.

First we solve 6-3n>18. We do this by rearranging:Carry over the -3n term for 6>18+3n.Take away 18 from both sides for -12>3n.Divide both sides by 3 for -4>n.So we know that n<-4. Now we so...

Answered by Daniel C. • Maths tutor

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