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find dy/dx where y = a^x

First, we need to re-write it as e to the power something. The definition of log base e is that e^log(y) = y. We can put our expression into this equality too. So a^x = e^log(a^x), so we use log rules to bri...
AS
Answered by Alastair S. • Maths tutor
3654 Views

How do I write a personal statement?

The main idea of the personal statement is to convey the degree to which you are interested in your subject area. Moreover, is it about advertising your interests in such a way that you stand out to the Univ...
KK
3744 Views

Derive the quadratic equation.

So in order to derive the quadratic equation we need to start with a quadratic that can represent any quadratic equation. Lets start with ax 2 +bx+c=0. We will use the completing the square method to solve t...
HT
Answered by Harry T. • Maths tutor
4070 Views

A publisher produces magazines, all of which have a number of pages which is a multiple of 32. Thus, a magazine can have 32, 64, 96....... pages. The front cover is always counted as page 1. The centre spread of the magazine could have pages numbered

96 and 97.
JK
Answered by Jack K. • TSA Oxford tutor
10306 Views

Suggest how one or more of the conditions in a squatter settlement (figure 5) affects the lives of the people living there.

One condition which can be seen in figure 5 is what appears to be raw sewage or stagnant water surrounding the homes. This would increase the chance of the inhabitants catching water-bourne diseases, such as...
JK
Answered by Jack K. • Geography tutor
3192 Views