Question

Find f ' (t) for F(t) = square root of ( t^2 + 9 )

Answer 1

have you learned the quick way to do derivatives?

Answer 2

or do you have to use (x+h)

Answer 3

Rewrite F9t) as (t^2 + 9)^(1/2)

Use chain rule, you get

F ' (t) = (1/2)(t^2 + 9)^(-1/2) (2t)

= t/sqrt(t^2+9)

Answer 4

@jbo11 Not sure I know the ( x+h), so i guess i know the fast way. Maybe...idk

Answer 5

So perhaps you ahvent learned the Chain Rule.

You may have found the derivative via definition using limits; also very important.

Answer 6

ok well for the fast way, Easyaspi314 did it right. the (x+h) is the long way

Answer 7

I actually do know the chain rule, sometimes I have trouble with it though

Answer 8

you can think of the chain rule as getting rid of the ( )