Ask
your own question, for FREE!
Mathematics
50 Online
what is f'(x) of the (sqrt) (5x)
Still Need Help?
Join the QuestionCove community and study together with friends!
5/2*\[\sqrt{5}^(-1/2)\] = 5/(2sqrt(5))
\[f(x)=5^{1/2} \Rightarrow f'(x)=\frac{1}{2}*5^{-1/2}=\frac{1}{2\sqrt{5}}\]
\[\prime(x)=\sqrt{5x} = 1/2*5^-1/2*5 = 5/2\sqrt{5}\]
Aagh, I'm my answer is off. 1st Step (Power Rule): \[f(x)={(5x)}^{1/2} \Rightarrow f'(x)=\frac{1}{2}*\sqrt{5}*{x}^{-1/2}=\frac{\sqrt{5}}{2\sqrt{x}}\]
Typically we rationalize the denominator - multiply top and bottom by x^(1/2) \[=\frac{\sqrt{5}}{2\sqrt{x}}*\frac{\sqrt{x}}{\sqrt{x}}=\frac{\sqrt{5x}}{2x}\]
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
Graysonunderwoods:
"When children are young, they're told not to talk to strangers, and when they go
theydontknowmelly:
A poem I wrote (lmk your thoughts!!) Life is bright and mysterious it is wild and free, with lots of highs and lows, turns and swirls, a story from a start
gelphielvr:
(algebra 1) linear relationships, slope, table hii I need help getting started &
gelphielvr:
(finance) When using credit, the purchase amount becomes what once the payment agreement is made? A.
Thayes1287:
How to let's say someone is mad at you how do you go about fixing it? ESPICALLY I
ThanosQC:
Looking for feedback- can't seem to get this right. And no, I did not play this IRL, I composed it via DAW.
uknownprttyfacekayla:
I just wanna say happy birthday to my eldest brother @joshsimmoms your the best b
here4s:
(A freestyle written by me) shoutout to Nainoah for sayin I was good -repost cus I don't know how to spell.
1 hour ago
1 Reply
0 Medals
4 minutes ago
6 Replies
4 Medals
4 hours ago
3 Replies
1 Medal
5 hours ago
7 Replies
3 Medals
6 hours ago
3 Replies
2 Medals
6 hours ago
8 Replies
4 Medals
4 hours ago
14 Replies
2 Medals
6 hours ago
6 Replies
2 Medals