Finding maximum and minimum values of \sin(2x) - x \text{

Octavio Miller 2022-01-27 Answered
Finding maximum and minimum values of sin(2x)x  for  x[π2,π2]
You can still ask an expert for help

Want to know more about Trigonometry?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

search633504
Answered 2022-01-28 Author has 16 answers
First differentiate y=sin(2x)x
You get y=2cos(2x)1.At an extrema this value will be zero. So equate the above equation to zero and solve for x. Remember the value of x has to lie in the given interval. It can be seen easily that the x=π6
Then find the second derivative of y.
Substitute this value of x obtained.
If the resulting value is positive then the function has a minima at that x.
If it is negative then the function has a maxima.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more