![y=(\sin(7x))^{\ln(x) } \\ \\ \ln{y}=\ln[(\sin(7x))^{\ln(x) }] \\ \\ \ln{y}=\ln(x)\ln[(\sin(7x))] \\ \\ (\ln{y})'=(\ln(x)\ln[(\sin(7x))])' \\ \\ \frac{1}{y} dy=[\frac{1}x}\ ln \sin(7x) +\frac{7 \cos (7x)}{sin(7x)}\ln{x}] dx \\ \\ \frac{dy}{dx} =y[\frac{1}x}\ ln \sin(7x) +\frac{7 \cos (7x)}{sin(7x)}\ln{x}] \\ \\ \frac{dy}{dx} =(\sin(7x))^{\ln(x) }[\frac{1}x}\ ln \sin(7x) +\frac{7 \cos (7x)}{sin(7x)}\ln{x}]](/tpl/images/0257/9457/c7519.png)
y=(sin(7x))^ln(x)
Mathematics, 24.09.2019 10:50 Yommms
Use logarithmic differentiation to find the derivative of the function.
y=(sin(7x))^ln(x)
y'=?
Answers: 1
Another question on Mathematics
Mathematics, 21.06.2019 15:30
Astore manager records the total visitors and sales, in dollars, for 10 days. the data is shown in the scatter plot. what conclusion can the store manager draw based on the data? question 3 options: an increase in sales causes a decrease in visitors. an increase in sales is correlated with a decrease in visitors. an increase in visitors is correlated with an increase in sales.
Answers: 1
Mathematics, 21.06.2019 16:30
Which of the following answers is 7/9 simplified? 7/9 2/9 11/9 2/7
Answers: 2
Mathematics, 21.06.2019 23:30
Which rule describes the composition of transformations that maps △abc to △a”b”c
Answers: 2
You know the right answer?
Use logarithmic differentiation to find the derivative of the function.
y=(sin(7x))^ln(x)
y=(sin(7x))^ln(x)
Questions
Health, 11.04.2021 17:50
Biology, 11.04.2021 17:50
Mathematics, 11.04.2021 17:50
Business, 11.04.2021 17:50
History, 11.04.2021 17:50
History, 11.04.2021 17:50
Computers and Technology, 11.04.2021 17:50
Mathematics, 11.04.2021 17:50
English, 11.04.2021 17:50
Mathematics, 11.04.2021 17:50
SAT, 11.04.2021 17:50
