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Given the function y=f(x), where f(x)=(e^x-e^(-x))/2, find its inverse f'(x).

This is a very common IB-level question, which is solved with using the technique of a "disguised quadratic". The first thing we want to do in finding the inverse is swapping the places of x and y ...
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Answered by Edoardo M. • Maths tutor
18859 Views

Rearrange the following to make C the subject (3c+B)/2=C+A

to work this out you need to make the equation equal to C so it will look like C=A+B or something similar. to achieve this you need to change the equation so that C only appears on one side. you would need t...
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Answered by Oran R. • Maths tutor
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The equation of a curve is x(y^2)=x^2 +1 . Using the differential, find the coordinates of the stationary point of the curve.

Firstly we need to use product rule to find the dy/dx of the left hand side (LHS). Using implicit differentiation, we know the differential of y^2 is 2y(dy/dx). Then use to product rule to obtain the dy/dy o...
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Answered by Grace C. • Maths tutor
6794 Views

Where do the kinematics equations (SUVAT) come from?

mathematical derivation
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Answered by Kunal P. • Maths tutor
5030 Views

How do I differentiate a quadratic to the power n?

To do this we will use the chain rule, whereby dy/dx = dy/du * du/dx. So if y = (ax^2+bx+c)^n then we will say that u = ax^2+bx+c. Therefore y =u^n. So to find dy/dx we differentiate u with respect to x, whi...
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Answered by Alex A. • Maths tutor
5907 Views