Top answers

How do I expand a bracket to a negative power if it doesn't start with a 1.

Okay so consider (2 + x)^-1, we can only do the expansion we know if the bracket starts with a 1, to fix this we can factor a 2 out of the bracket so that it becomes (2(1 + x/2))^-1. Then by our rules of pow...
SM
Answered by Shaun M. • Maths tutor
4477 Views

What is proof by induction and how do I employ it?

Proof by induction is a type of proof in which one tries to proof a statement is valid for any arbitrary number of n by first proving for k and then trying to further extrapolate this into a valid statement ...
AB
Answered by Adrian B. • Maths tutor
1808 Views

Differentiate(dx) xy+4y-13

As this is not in the common form and is HomogeneousStudents should be confident to understand what differentiation does.Using the quotient rule as well as implicit differentiation we look at each part of th...
NM
Answered by Nojus M. • Maths tutor
3494 Views

x/x-1 - x/x+1 simplify

x(x+1) - x(x-1)/(x-1)(x+1)x 2 +x-x 2 +x/(x-1)(x+1)2x/x 2 +x-x-12x/(x 2 -1)
GO
Answered by Grace O. • Maths tutor
3826 Views

Find the turning points of the curve y=2x^3 - 3x^2 - 14.

First differentiate the equation: dy/dx = 6x^2 - 6xSet this equal to 0 as at turning points the change in gradient is 0: 0 = 6x^2 - 6x6x(x-1)=06x=0 therefore x=0(x-1)=0 therefore x=1x=1,0Now substitute back ...
ER
Answered by Edward R. • Maths tutor
6025 Views