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Further Mathematics
A Level

Compute the derivative of arcsin(x).

To compute the derivative of arcsin(x) we use the fact that it is the inverse of sine. Write y=arcsin(x). We want dy/dx. Taking sin on both sides yields sin(y)=x. Use implicit differentiation to different...

JP
3920 Views

By use of matrices uniquely solve the following system of equations, justifying each step of the calculation: 3x-7y=6, 5y-2x=-3.

The first thing observe is that we are being asked to use a specific approach in order to solve for both x and y, hence we should not approach ...

KM
3018 Views

Find the general solution to the differential equation d^2x/dt^2 + 5 dx/dt + 6x = 4 e^-t

To solve a linear second order differential equation we first find the complementary function and then the particular integral. To find the complementary function we must find the roots of the auxiliary e...

TM
7240 Views

How do I draw any graph my looking at its equation?

As graphs get more complicated I like to follow a few steps to make sure my graph looks as accurate as possible.
Are there x values that make the equation (y value) get Big? ...

JD
2253 Views

How do I find the square root of a complex number?

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