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What is the derivative of x^x

Firstly we should notice the similarities between this expression and expressions of the standard type a x. To deal with this type of expression, we take logarithms of both sides and then apply the usual rul...
DK
Answered by Daniel K. Maths tutor
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How to factorise any quadratic expression

Factorising quadratic equations This method is used for the following factorable expression: ax 2 +bx+c Although this method is particularly useful with quadratic expressions with a≥2, it can be also used wh...
AP
Answered by Adil P. Maths tutor
6122 Views

How do I integrate ln(x)

This is an integral many people struggle with, but, with a simple trick it becomes a little more straight forward. We will approach this integral using integration by parts. But what are the parts? Well, we ...
TM
Answered by Tom M. Maths tutor
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How do you solve the integral of ln(x)

This will use the process of integration by parts. First, notice that ln(x)=ln(x)*1. So, the integral of ln(x) is the integral of ln(x) 1. The process of integration by parts is; int (v du / dx ) dx =vu - in...
YP
Answered by Yaniv P. Maths tutor
5332 Views

How to determine the number of unique real roots of a quadratic equation.

Take any quadratic equation, eg/ 3x 2 +4x-2=5 , and rearrange to equal 0 , ie/ 3x 2 +4x-7=0 (if you have an expression, ie/ there is no equals sign, then simply equate the expression to 0 ). Now, we use the ...
YP
Answered by Yaniv P. Maths tutor
23344 Views