Search over 10,000 free study notes

To differentiate we multiply by the power and take one off the power. d/dx(3x^2+1/x)= 6x-1/x^2 At a stationary point the gradient equals zero 6x-1/x^2=0 which rearranges to x=(1/6)^(1/3)

To achieve top-level marks in English Literature A-level, you need to have an awareness of the five Learning Objectives, or key skills, that the examiners are looking for. These include, in my own words: ...

Turning point is when dy/dx = 0

if y= x² + 6x - 7

dy/dx = 2x + 6

at turning point: 2x + 6 = 0

therefore: 2x = - 6

x coordinate: x = - 3

substitute into...

The electron transport chain is a process that occurs in the inner membrane of mitochondria. It involves the transport of electrons through 4 complexes in the membrane, which provides energy for the trans...

In order to calculate this integral we must use the sustitution provided. x=2siny. Firtsly I will differentiate to find the dx component of the integral, so dx/dy=2cosy hence, dx=2cosydy. Now for the limi...