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Differentiate y=ln(ln(x)) with respect to x.

To solve this question we need to understand the process of implicit differentiation, which is a case of using the chain rule. If you remember the chain rule states that for y=f(g(x)), we have y'=f'(g(x))g'(...
MK
Answered by Marek K. • Maths tutor
6065 Views

What is 'e' and where does it come from?

Its called Euler's number but it can be said to be credited also to Bernoulli. Hopefully you are aware of interest on loans from banks, if not, proceed to have a look on Wiki. In short, when you borrow money...
OO
Answered by Oliver O. • Maths tutor
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How many people in a room is required such that the probability of any two people sharing a birthday is over 50 percent?

Probability can be highly intuitive yet at times completely nonsensical. Famous mathematicians have fallen victim to the idea that everything in probability can be done without rigorous calculation and thoug...
OO
Answered by Oliver O. • Maths tutor
4484 Views

A curve has the equation y = (1/3)x^3 + 4x^2 + 12x +3. Find the coordinates of each turning point and determine their nature.

The turning point of a curve can be visualised in your head (or on paper/screen using diagram) as the point in which the curve charges direction – and at this point the gradient of the curve is equal to 0 as...
DS
Answered by Dan S. • Maths tutor
5802 Views

given that at a time t, a particle is accelerating in the positive x-direction at 1/t ms^-2, calculate the velocity and the displacement of the particle at time t = 2s

v=ln2, x=2ln2 - 2
TS
Answered by Toby S. • Maths tutor
4492 Views