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How do we differentiate y=a^x when 'a' is an non zero real number

Firstly we must change it into a form we can deal with. To do this we take the natural log (ln) of both sides.ln(y)=ln(a x ) ln(y)=x(ln(a)) using our rules of logsFrom here we differentiate. The differential...
MJ
Answered by Marcus J. • Maths tutor
8416 Views

If (m+8)(x^2)+m=7-8x has two real roots show that (m+9)(m-8)<0 where m is an arbitrary constant

For this we are going to test our knowledge of discriminats and factorisation. Firstly we will format the equation as (m+8)x 2 +8x+(m-7)=0From here we can see it takes the form ax 2 +bx+c, and as we know the...
MJ
Answered by Marcus J. • Maths tutor
5349 Views

What are cases?

Every word has a function in a sentence. Sometimes, we can take words away and the sentence still makes sense. However, at other times, some words are essential for the sentence to not sound 'odd.' Say the s...
ML
Answered by Marcus L. • German tutor
4774 Views

But how can we be sure that is what the author intended?

That's a really interesting point to raise. In short, I don't think we can, especially if the author has passed away. Looking at the text though, there are definitely hints pointing us to a certain message, ...
ML
5950 Views

What is meant by the term cross-media?

Cross-media refers to large media texts which are present on different media platforms simultaneously. The mix of each of these media forms contributed to the overall media text. For example, BBC News is a c...
LF
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