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What is an improper fraction, and how to I make thisproper so that it can be differentiated?

An improper fraction is any fraction where the order of the constant (power of x) is equal or greater in the nuberator than the denominator, take for example; (x 2 -3x-2)/(x 2 -3x+2) This can first be factor...
AS
Answered by Aidan S. • Maths tutor
4244 Views

1. A small stone is dropped from a height of 25 meters above the ground. i) Find the time taken for the stone to reach the ground ii) Find the speed of the stone as it reaches the ground

i) Let’s first write down, as we always should, what we know and what we are searching for. We know height is 25 meters and we are searching for time, so: ℎ = 25 �� �� =? This is a case of free fall of cours...
PM
Answered by Petar M. • Maths tutor
8220 Views

For a curve of equation 2ye^-3x -x = 4, find dy/dx

here the student needs to use both implicit differentiation and the product rule. I would differentiate term by term for this problem. for 2ye^-3x you have to use the proudct rule. uv differentiates to uv' +...
JB
Answered by Jack B. • Maths tutor
4293 Views

How do I factorise a quadratic equation?

A quadratic equation is one that takes the form.. ax 2 + bx +c = 0 Factorising an equation like this involves putting the equation into two brackets. The method varies slightly dependent on whether a = 1 or ...
BE
Answered by Beth E. • Maths tutor
3934 Views

Algebraic fractions

9/3x 2 - 3y 2 + x/xy - x 2 = 9/3(x 2 -y 2 ) + x/x(y-x) = 3/(x-y)(x+y) + 1/y-x = 3/(x-y)(x+y) - 1/x-y = 3-1(x+y)/(x-y)(x+y) = 3-x-y/(x-y)(x+y)
TL
Answered by Tristan L. • Maths tutor
3609 Views