Question

5. [-/1 Points] DETAILS HARMATHAP12 11.1.027.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the function. $y = \frac{\ln(6x)}{7x}$ Let $u(x) = \ln(6x)$ and $v(x) = 7x$. Find the derivative of $u(x)$. $u'(x) = $ Find the derivative of $v(x)$. $v'(x) = $ Find the derivative of the function $y$. $y'(x) = $ Need Help?

          5. [-/1 Points] DETAILS
HARMATHAP12 11.1.027.EP.
MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER
Consider the function.
$y = \frac{\ln(6x)}{7x}$
Let $u(x) = \ln(6x)$ and $v(x) = 7x$.
Find the derivative of $u(x)$.
$u'(x) = $
Find the derivative of $v(x)$.
$v'(x) = $
Find the derivative of the function $y$.
$y'(x) = $
Need Help?

5. [-/1 Points] DETAILS
HARMATHAP12 11.1.027.EP.
MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER
Consider the function.
y = (ln(6x))/(7x)
Let u(x) = ln(6x) and v(x) = 7x.
Find the derivative of u(x).
u'(x) =
Find the derivative of v(x).
v'(x) =
Find the derivative of the function y.
y'(x) =
Need Help?

Added by Rebecca Z.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sutara K

Step 1

To find the derivative of u(x), we can use the chain rule. The chain rule states that if we have a function f(g(x)), then the derivative of f(g(x)) is f'(g(x)) * g'(x). In this case, our function f is ln(x) and our function g is 6x. So, the derivative of u(x) Show more…

Show all steps

Thanks for your feedback!

DETAILS HARMATHAP1211.1.027.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the function. u(x) = In(6x) Let u(x) = In(6x) and v(x) = 7x Find the derivative of u(x). u'(x) = (1/6x) Find the derivative of v(x). v'(x) = 7 Find the derivative of the function y. y'(x) = u'(x) + v'(x) Need Help?