Question

determine where the function is increasing and decreasing.

Answer 1

\[\sqrt(x^2+1)\]

Answer 2

increasing if first derivative >0 {positive}
decreasing if first derivative <0 {negative}

Answer 3

find the derivative and look where it's positive and where negative, that's it

Answer 4

derivative is:
\[x/\sqrt{x ^{2}+1}\]

Answer 5

finding the derivative is my problem i get to 1/2(x^2+1)^-1/2 (2x)

Answer 6

can you show me how you got the derivative

Answer 7

use chain rule. derivative of a scuare root is same as fractional exponent. Like you did. Your derivative is right

Answer 8

oh ok good haha

Answer 9

put dy/dx > 0 to find out where it's increasing
and dy/dx <0 to find out where it is decreasing
dy/dx will give you stationary points.

Answer 10

so now that ive got this dont i need to set the whole to 0 and solve for x to get critical points