angsonMagdayne angsonMagdayne
  • 26-11-2016
  • Mathematics
contestada

find dy/dx if y= (cos x) ^ x

Respuesta :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 29-11-2016
y = (cos x)^x
log y = log (cos x)^x = x log (cos x)
1/y dy/dx = x * 1/cos x * -sin x + log (cos x) = -xsin x / cos x + log (cos x) = log (cos x) - xtan x
dy/dx = y(log (cos x) - xtan x) = (cos x)^x (log (cos x) - xtan x)


Answer Link

Otras preguntas

If an object absorbs blue light and reflects green and red, what color will the object appear to be? A) blue B) green C) yellow D) red Light travels fastest t
Shelly types 301 words in 3 1/2 minutes what is the rate at which Shelly types in words per minute?
Write each ratio three ways
9. Tú blank mucho en la clase de iglés A. Escribo B. Escriben C. Escribes D. Escribimos 10. Where would you most likely see a book in Spanish A. En la bi
How do i solve this?
Keeping my mind on my writing is not easy when I stay at my grandmother's ocean-side cottage. Just about the time that I am going along pretty well, I glance ou
Please help me order these from least to greatest pleaseee
Vicki has 210 baseball cards and buys an additional 15 cards every week. Jeb has 275 baseball cards and buys an additional 10 cards every week. After how many w
An element has three stable isotopes. One has a mass number of 63 and an abundance of 50%. The second has a mass number of 65 and an abundance of 30%. The third
One of woodrow wilsons most important goals after world war 1 was to establish a league of nation. What was the main job of the league supposed to be