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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 ...

OW
Answered by Olivia W. Maths tutor
3508 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 ...
AA
Answered by Akinmi A. Maths tutor
4014 Views

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 ...

ZT
Answered by Zarin T. Maths tutor
3808 Views

Find x when 2x-3=5

To find what x is, we must rearrange the equation so that it says x=. To do this we need to get rid of the -3 on the left hand side of the equation. This can be done by adding 3 to both sides of the equat...

RC
Answered by Rosie C. Maths tutor
4589 Views

Solve the simultaneous equations y=x-5 and 10y=2x+6 by elimination, and by substitution.

Elimination:

Multiply equation (eqn) 1 by 2: 2y=2x-10

Subtract modified eqn 1 from 2: 8y=16

Divide through by 8

JR
Answered by Jack R. Maths tutor
3602 Views

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