## onegirl Group Title If y = 3^x(lnx^2) , find dy/dx. one year ago one year ago

1. juanjohnguy Group Title

Did you just need help calculating it?

2. onegirl Group Title

yea

3. Twis7ed Group Title

Is the equation? $3^{x}*\ln(x^2)$

4. onegirl Group Title

yes

5. juanjohnguy Group Title

We would need to apply both the prodcut rule and chain rule

6. onegirl Group Title

ok

7. juanjohnguy Group Title

We would need to start with the product rule so we take the derivative of the (first term times the second term without doing the derivative of it) plus (the first term times the derivative of the second term)

8. juanjohnguy Group Title

there is a quick little formula for finding the derivative of a constant to the x power

9. onegirl Group Title

okay

10. juanjohnguy Group Title

If we have a to the x (where a is a constant)....if we want to find the derivative of it we would get (a^x)lna

11. onegirl Group Title

ok

12. juanjohnguy Group Title

so go ahead and trying doing it

13. onegirl Group Title

okay i'll try thanks

14. juanjohnguy Group Title

np

15. onegirl Group Title

i got dy/dx = 2(3^x)/x - 3^x(ln3)(lnx^2)

16. juanjohnguy Group Title

let me quickly calculate it

17. onegirl Group Title

ok

18. juanjohnguy Group Title

$3^x*3\ln(x^2)+(2x/x^2)*3^x$

19. juanjohnguy Group Title

Thats what I got and I'm pretty sure it is right

20. onegirl Group Title

okay

21. juanjohnguy Group Title

Sorry I need to go but good luck