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Differentiate x^x

With the methods we know at A Level we cannot current differentiate x x in its current form. Therefore let y = x x To turn it into a form we can differentiate we take the natural log of both sides. This give...
Answered by • Maths tutor
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I have invested £10000 for 5 years and I how have £12763 in my account. What is my banks interest rate?

This question is an example of compound interest rates. The question asks to find the interest rate of the bank. So first of all we should form an equation relating our initial amount, interest rate, time an...
AS
Answered by Amir S. • Maths tutor
3748 Views

Solve these equations simultaneously, y= 5x - 9and, x=2y

X=2Y=1
CP
Answered by Charlie P. • Maths tutor
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Solve the curve xy=2 and x+y=3

This question is a simultaneous equation, this means we substitute one value into the other equation.We are looking for the points where the curves intersect.First I would take x+y=3 and bring the y over to ...
PM
Answered by Peter M. • Maths tutor
5358 Views

What is the value of an investment of £4500 with compound interest of 1.3% after six years?

We solve this by multiplying the starting value, £4500 , by 1 + {the interest rate expressed as a decimal} , or in this case, 1 + 0.013 . This gives us £4500 x 1.013 6 and when we type this into our calculat...
MC
Answered by Mark C. • Maths tutor
3898 Views