h(x) = 2/ (x2 + x + 1)2

Question

Calculate the derivative of the function.

 

2 divided by (x to the second power plus x plus 1) to the second power

Answer 1

h(x) = 2/(x²+x+1)²

 

We can rewrite this as   h(x) = 2(x²+x+1)^-2 .

 

Use the product rule and chain rule.

 

h'(x) = f'(x)g(x)+f(x)g'(x) , where

 

f(x) = 2  and  g(x) = (x²+x+1)^-2

 

In order to find g'(x), you must use the chain rule.

The derivative of the inside function multiplied by the derivative of the outside function evaluated inside.