Learn To Be brings free online tutoring students around the United States. Volunteer and gain community service hours while helping students who need it./p>

Advanced differentiation challenge

Given  h(x)=(sinx)x~h(x)=(\sin x)^x. What is the exact value of  h(π2)?~h\,^\prime \Big(\dfrac{\pi}{2}\Big)?
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4