Search over 10,000 free study notes

We use the rule that if y = x^n then dy/dx = n*x^(n-1) which is valid whether or not n is an integer. 

We also use that differentiation is a linear operation, which means that we can diff...

Such an integral looks difficult to manage; clearly it is a case of integration by parts, but neither part of the product appears to reduce easily into a nicer form.

The key here is use t...

p(x)=x³+2x²-5x-6

      =x(x²+2x-5)-6

      =x(x²+2x+1-6)-6 as we know (x+1)²=x²+2x+1,5 can be expressed 1-6...

Absolute value means how far away you are from zero. It's better to draw a number line to understand and solve the question. 

Given the inequality l 4x+3 l >15 , the distance of the 4x...

Technical Definition: A way to approximate (very) smooth functions (for which derivatives up to high orders exist and are continuous)

Simple Definition: Ta...