Ask your own question, for FREE!
Mathematics
OpenStudy (anonymous):

what is f'(x) of the (sqrt) (5x)

OpenStudy (anonymous):

5/2*\[\sqrt{5}^(-1/2)\] = 5/(2sqrt(5))

OpenStudy (anonymous):

\[f(x)=5^{1/2} \Rightarrow f'(x)=\frac{1}{2}*5^{-1/2}=\frac{1}{2\sqrt{5}}\]

OpenStudy (anonymous):

\[\prime(x)=\sqrt{5x} = 1/2*5^-1/2*5 = 5/2\sqrt{5}\]

OpenStudy (anonymous):

Aagh, I'm my answer is off. 1st Step (Power Rule): \[f(x)={(5x)}^{1/2} \Rightarrow f'(x)=\frac{1}{2}*\sqrt{5}*{x}^{-1/2}=\frac{\sqrt{5}}{2\sqrt{x}}\]

OpenStudy (anonymous):

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!
Latest Questions
TheOfficialDevan12: What do you call a pie that is baked into a cake???
1 hour ago 6 Replies 4 Medals
Victorya: what is the square route of 6789?
2 hours ago 2 Replies 1 Medal
CarterorWolfie214: whats 44 times 65
4 hours ago 16 Replies 1 Medal
dukedadon: are there any moderators on rn?
5 hours ago 0 Replies 0 Medals
mdobbs6856: How do you write 7.5E9 in scientific notation?
5 hours ago 2 Replies 2 Medals
594ikfo94: how do i make a group chat
7 hours ago 4 Replies 1 Medal
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!