Search over 10,000 free study notes
Over a million students use our free study notes to help them with their homework
Top answers
What is the chain rule?
The chain rule is a technique used when differentiating. It is needed when differentiating composite functions, i.e. when y = f(g(x)).For example, y = sin(x^3) is a composite function, where (referring to th...
Answered by
•
Maths tutor
3491 Views
Find the general solution to the differential equation dy/dx = y/(x+1)(x+2)
1)Separating variables. Firstly, we need to get the y terms all on the dy/dx side and the x terms on the other side. In this case, we divide both sides by y which gives (1/y)dy/dx = 1/(x+1)(x+2). 2) To make ...
SC
Answered by
Samuel C.
•
Maths tutor
5083 Views
Solve the following simultaneous equations: (1) 2y + x = 8, (2) 1 + y = 2x
The first aim is to obtain an expression for one of the unknowns in terms of the other. To achieve this, addition and subtraction methods are used. For example, using equation 1, subtracting 2y from both sid...
BJ
Answered by
Benjamin J.
•
Maths tutor
2897 Views
4(3x-7) = 8
First multiply out the bracketsMultiply each component within the bracket by 4 (4 x 3x) + (4 x -7) = 812x - 28 = 8 Now you want to ensure you have the x's on their ownYou can eliminate the -28 by adding 28 t...
JH
Answered by
Jack H.
•
Maths tutor
3073 Views
Solve by completing the square: x^2 + 12x + 4 = 0
(x+6) ^2 -36+4=0(x+6) ^2 -32=0(x+6) ^2 =32(x+6)=±√32x=-6±√32
EK
Answered by
Elisha K.
•
Maths tutor
3026 Views
←
29
30
31
32
33
→