s7tennhjennasil
s7tennhjennasil s7tennhjennasil
  • 15-06-2016
  • Mathematics
contestada

find the derivative of y=sin^(2)(x)cos^(2)(x)

Respuesta :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 15-06-2016
[tex] sin^{2}x \ cos^{2} x= \frac{1}{2} (1-cos2x) \times \frac{1}{2} (1+cos2x) \\ = \frac{1}{4} (1- cos^{2} 2x) \\ = \frac{1}{4} ( sin^{2} 2x +cos^{2} 2x- cos^{2} 2x) \\ = \frac{1}{4} ( sin^{2} 2x) \\ = \frac{1}{4} ( \frac{1}{2} (1-cos2(2x))) \\ = \frac{1}{8} (1-cos4x) \\ \frac{d}{dx} (sin^{2}x \ cos^{2} x)= \frac{1}{8} \frac{d}{dx} (1-cos4x) \\ = \frac{1}{8} [-4(-sin4x) \\ \frac{1}{2} sin4x[/tex]
Answer Link

Otras preguntas

PLS HELP A.S.A.P WILL GIVE BRAINLIEST! The religions of the ancient Egyptians and the Aztecs both encouraged the a teaching of cuneiform b teaching of alphabet
Why did merchants in Britain tend to support repeal of the Stamp Act and Grenville's other imperial reforms
PLZZ HELP MEEEE I will give brainliest 1. How does the HIV virus affect the immune system of humans. Be sure to talk about which cells it uses as a host and how
Boboiboy halilintar drawing ​
what is the purpose of queer theory sociology quizlet
on the advice of her therapist, thora decides to treat her fear of heights by exposing herself to heights using a hierarchy of stimuli related to her phobia. wh
What is so special about ancient persia stories?
The symbol delta x (x) is used to find what value?
Write each number without exponent 6.453 x 10^-3
Which of the vectors in the graph below is the negative of the vector v A. a B. d C. c D. b