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Differentiate 3x^2+1/x and find the x coordinate of the stationary point of the curve of y=3x^2+1/x

To differentiate we multiply by the power and take one off the power. d/dx(3x^2+1/x)= 6x-1/x^2 At a stationary point the gradient equals zero 6x-1/x^2=0 which rearranges to x=(1/6)^(1/3)

Answered by Rachel W. Maths tutor
4022 Views

Let Sn be the sum of the first n terms of the arithmetic series 2 + 4 + 6 + ... i) Find S4

Firstly look for key terms in the question, identifying that we are going to be finding the sum of n terms, and it is an arithmetic series. This allows us to know which e...

Answered by Sydney L. Maths tutor
5763 Views

Find the location of the turning point of the following curve, y = x^2 + 6x - 7

Turning point is when dy/dx = 0

if y= x2 + 6x - 7

dy/dx = 2x + 6

at turning point: 2x + 6 = 0

therefore: 2x = - 6

x coordinate: x = - 3

substitute into...

Answered by Hugo M. Maths tutor
5439 Views

what is standard form?

standard form is a way of writing very large numbers or very small numbers in a condensed form. E.g. 1,600,000,000 can be written as 1.6x10^9 

Answered by Ruqia A. Maths tutor
2786 Views

Do I need to write down all of my working out?

Yes, in order to maximise the amount of marks you obtain you must write down all of your working as often the answer is only worth 1 mark whereas the working out makes up the rest of the marks. Always sho...

Answered by Charlie C. Maths tutor
4449 Views

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