Search over 10,000 free study notes

In order to find the stationary points of any funcion, you must differentiate. Once you have differentiated, the deriviate of this function must be set equal to 0, in order to determine what the stationar...

y=sin(x²) + e^x Firstly we need to differentiate. dy/dx = 2xcos(x²) + e^x using the chain rule Notice the gradient at x = sqrt(pi) is found when we sub x into dy/...

This question requires integration by parts, using the formula:

Integral(u dv) =  u v - integral(v du) 

This is applied to find the integral of Ln(x) by writing Ln(x) as 1 * Ln(x), u is then...

With differentiation we should always begin with the "times by the power and take one from the power" rule. For example, to differentiate ax^b --> (a x b)x^(b-1)

So...

x=-1/7 or -1/3

y=-3/7 or 1/3