anonymous 3 years ago find the derivative of y with respect to x, t or theta as appropriate. y= ln(cos(ln theta))

1. anonymous

its very simple

2. anonymous

3. anonymous

-(1/cos(ln theta))*(sin(ln theta)*1/theta

4. stamp

$\frac{d(ln(cos(ln(\theta)))}{dx}$

5. stamp

Should be dTheta

6. anonymous

the answer is - (tan (ln theta))/ theta

7. anonymous

i just dont no how to get to that

8. stamp

$\frac{1}{cos(ln(\theta))}*-sin(ln(\theta))*\frac{1}{\theta}$$\frac{-sin(ln(\theta))}{cos(ln(\theta))}\frac{1}{\theta}$$=\frac{-tan(ln(\theta))}{\theta}$Let me know if we need to go over anything.

9. anonymous

thank you this explains it :)

10. stamp

Ok good luck in calculus

11. anonymous

thank you its really hard. just trying to keep up. have a test coming up i just hope to pass it. thank you for ur help!

12. stamp

Sure thing. Private message me if you ever want to discuss more problems.

13. anonymous

ok thank you!