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How would you differentiate x^x?

To start off with, we have the expression y = x^x and we want to differentiate it. A clever way to do this would be to first remember implicit differentiation and start by taking the natural logarithm of bot...
AD
3242 Views

If y=(x^2)*(x-10), work out dy/dx

The question is pretty straightforward and asks you to find the derivative of y, which is a function of x. The most simple way to do this is to first eliminate the brackets and then derive. Thus we get y=x^3...
MC
4538 Views

A curve is defined by the equation y = (x + 3)(x – 4). Find the coordinates of the turning point of the curve.

The turning point of a curve is the point at which it will turn, therefore, either the maximum or minimum point. Firstly, you need to expand out the brackets so the equation looks like a standard curve equat...
CM
4007 Views

How can I find the equation of a straight line on a graph?

One good way is to use the formula y - y 1 = m(x - x 1 )where (x 1 ,y 1 ) is a point on the line and m is the gradient of the line. This is derived from the definition of the gradient m=(y 2 -y 1 )/(x 2 -x 1...
MB
5098 Views

The circle c has equation x^2+ y ^2=1 . The line l has gradient 3 and intercepts the y axis at the point (0, 1). c and l intersect at two points. Find the co-ordinates of these points.

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 intersections we...
CB
3629 Views