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y=a^x

take natural logs (also written as ln or log base e) of both sides

lny=lna^x

by logarithms rules lna^x=xlna

lny=xlna

Now diff...

To start solving a question like this you want to do it in a set of steps:

Step 1: Get rid of the division.  To do thsi you need to do the opposite function.  The opposite of division is ...

Rearranging is one of the trickier topics in GCSE maths, however as long as you follow it through step by step you shouldn't have a problem.

The question asks you to make 'c' the subject....

This question can be difficult, because it involve a lot of words. This can make it confusing as to what information we really need to use - just work it through step by step.

Sam uses 14...

There are a number of integrals that we can evaluate directly, called elementary functions:integral[x dx] = x²/2 + Cintegral[cos(x) dx] = sin(x) + C...