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Maths
A Level

A curve is defined for x>0 as y = 9 - 6x^2 - 12x^4 . a) Find dy/dx. b) Hence find the coordinates of any stationary points on the curve and classify them.

a) y = 9 -6x^2 - 12x^4 

dy/dx = -12x - 48x^3 

b) At stationary points dy/dx = 0. 

-12x - 48x^3 = 0 

48x^3 + 12x = 0 

4x^3 + x = 0

x (4x^2 + 1) = 0 

Either ...

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Answered by Olivia W. Maths tutor
3257 Views

What is the coefficient of x^2 in the expansion of (5+2x)^0.5?

  1. We the answer in question in the form A(1+B)0.5 and we can do that by factorising out the 5. This gives 50.5(1+0.4x)0.5. 2. Identify the formula we are going to use ...
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Answered by Akinmi A. Maths tutor
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Differentiate y=x^(-1/2)-x

The formula you are given is an equation which is written in terms of x. So we will be differentiating with respect to x. 

When differentiating we take the current power and place that in front of ...

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Answered by Zarin T. Maths tutor
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Find the first derivative of the line equation y=x^3 + 4

dy/dx = 3x^2

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Answered by Harry F. Maths tutor
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Integrate x((x^2)+2) dx

The first step is to multiply out the brackets so the function is in a form that can be integrated. X x X2 = X3 then X x 2 is simply 2X. So we are left with X3 + 2X. Both ...

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Answered by Benjamin H. Maths tutor
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