A community for students.
Here's the question you clicked on:
 0 viewing
101Ryan101
 3 years ago
differentiate 3^(x/2)
101Ryan101
 3 years ago
differentiate 3^(x/2)

This Question is Closed

physopholy
 3 years ago
Best ResponseYou've already chosen the best response.2y=3^(x/2) logy=(x/2)log3 1/y(dy/dx)=(1/2)log3 dy/dx=y*(1/2)log3 dy/dx=(3^(x/2))(1/2)log3

101Ryan101
 3 years ago
Best ResponseYou've already chosen the best response.0should be (3^(x/2))(x/2)log3

bnut056
 3 years ago
Best ResponseYou've already chosen the best response.0d/dx(Cx^Ax)=Cx^Ax(Aln(Cx)+AxC/Cx)

bnut056
 3 years ago
Best ResponseYou've already chosen the best response.0d/dx(C^Ax)=C^Ax(Aln(C))

someone1348
 3 years ago
Best ResponseYou've already chosen the best response.0\[f(x)=3^{\frac{x}{2}}=e^{\frac{\ln(3) \times x}{2}}\] \[f'(x)=\frac{\ln(3)}{2} \times e^{\frac{\ln(3) \times x}{2}}=\frac{\ln(3)}{2} \times 3^{\frac{x}{2}}\]

someone1348
 3 years ago
Best ResponseYou've already chosen the best response.0Umm sorry, forgot the minus symbol, just plug it in and you get \[f'(x)= \frac{\ln(3)}{2} \times 3^{ \frac{x}{2}} \]

physopholy
 3 years ago
Best ResponseYou've already chosen the best response.2no, the derivative of C^u is (C^u)(du)(lnC). So, what I did originally, but with ln instead of log. Someone1348's right, too
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.