Search over 10,000 free study notes

We differentiate here to find the gradient, dy/dx, i.e. the differenitial of y in terms of x. As the right handside is purely dependant on x, this is simple. We can just multiply through by the power, i.e...

For a curve where y = f(x) the gradient of the curve is the derivative of this equation dy/dx. Stationary points of a curve occur when the gradient of the curve is zero. Hence find the expression for dy/d...

Finding the gradient or area underneath a graph

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))...

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 borr...