[shriya]

does anyone have any revision notes?? mostly on differentiation and integration and binomial expansion

[Swayum]

Differentiation:




Turning points occur at dy/dx = 0. A function is increasing when f'(x)>0 and decreasing when f'(x) < 0. At a turning point, if f''(x) > 0, it's a minimum or if < 0, it's a maximum.

Integration:




To find the area under the curve: integrate to find an expression in terms of x and then plug in the two values of x in which the area lies between (note that you get a negative answer if the curve goes below the x-axis at any point, so take care of that) and subtract them.

That pretty much covers 98% of differentiation and integration (C2 style). The best way to revise, though, is to do as many questions as you can get your hands on (particularly solomon papers).

[shriya]

Originally Posted by Swayum

Differentiation:




Turning points occur at dy/dx = 0. A function is increasing when f'(x)>0 and decreasing when f'(x) < 0. At a turning point, if f''(x) > 0, it's a minimum or if < 0, it's a maximum.

Integration:




To find the area under the curve: integrate to find an expression in terms of x and then plug in the two values of x in which the area lies between (note that you get a negative answer if the curve goes below the x-axis at any point, so take care of that) and subtract them.

That pretty much covers 98% of differentiation and integration (C2 style). The best way to revise, though, is to do as many questions as you can get your hands on (particularly solomon papers).

thank you