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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...

The equation for a line is y(x)=ax+b.Because it intersects the y axis at x=0 at y=1y(x)=b=1a is equal to the gradient of the function so the line is given as y(x)=3x+1In order to get the two intersection...

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 ...

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...

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? ...