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differentiate y=(3x)/(x^2+6)

using the quotent ruledy/dx= (3(x^2+6)-3x(2x))/(x^2+6)^2dy/dx=3(x^2+6-2x^2)/(x^2+6)^2dy/dx=(18-3x^2)/(x^2+6)^2
MS
Answered by Michael S. • Maths tutor
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Expand x(x+4)

You must expand the brackets and then handle each section separately x multiplied by x = x^2 x multiplied by 4 = 4x answer is x^2 + 4x
TD
Answered by Tutor125675 D. • Maths tutor
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The curve C has the equation: y=3x^2*(x+2)^6 Find dy/dx

To find dy/dx, we must use a combination of the Product Rule and the Chain Rule. If we let 3x^2=u and (x+2)^6=v, the Product Rule tells us that (uv)' = uv'+vu' u'=6x, but to find v' we need to use the Chain ...
SH
Answered by Sam H. • Maths tutor
4325 Views

How to solve a quadratic equation?

There are several ways to solve a quadratic equation. 1.Quadratic formula ax 2 + bx + c = 0, where a can't equal 0 but b and c can.x = (-b± (b 2 - 4ac)) / 2a2. completing the square(x + b/2) 2 + c3. factoris...
AM
Answered by Alvaro M. • Maths tutor
3862 Views

How can I understand eigenvalues and eigenvectors?

A matrix is a linear transformation between vector spaces. Often we want to think about linear maps from an n -dimensional vector space to itself. When the vector space that we're mapping to and from is the ...
JW
Answered by James W. • Maths tutor
4064 Views