Question

What is the derivative of `2^(1/2) (x + 2)`?

Answer 1

The answer is `sqrt2=2^(1/2)`

Explanation:

A good starting off point is distribution of the outside constant with the inside of the parentheses...

`2^(1/2)x+2^(3/2)`

Now, we're going to use the power rule. Subtract 1 from the exponent of every variable, and put the original exponent in the front. The result?

`2^(1/2)=sqrt2`