jadajzo3ox9x38 jadajzo3ox9x38
  • 02-12-2019
  • Mathematics
contestada

If f(x)= sin^−1 (x), then what is the value of f'(sqrt 3/ 2) in simplest form?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 02-12-2019

Answer:

  2

Step-by-step explanation:

We can use the formula for the derivative of the arcsin function:

  f'(x) = 1/√(1 -x²)

Filling in x=(√3)/2, we get ...

  f'((√3)/2) = 1/√(1 -3/4) = 1/(1/2)

  f'((√3)/2) = 2

Ver imagen sqdancefan
Answer Link

Otras preguntas

What is the sum of the geometric sequence 1,3,9... if there were 11 terms?
what’s the length of the mid segment of a trapezoid with bases of length 16 and 24
How many representative particles are in 1.45 g of a molecular compound with a molar mass of 237 g?
which offspring could not arise from the parent cells with the chromosomes shown below? Assume crossovers can occur between chromosome pairs in the parent cells
true or false informal labor is part of every country’s economy
Why is Self Portrait always a good option?How is Arneson's drawing process like a ceramic process?​
What did the Doctrine of Nullification state?
The pressure of a balloon made of a stretchy material is held constant at 2 atm. If the initial volume is 250 mL at room temperature (25 ˚C), what would be the
What does a correlation of -0.9 mean?
Which modernist theme is reflected in "Night? A. resilience in the face of fear B. the magnificence of nature C. mistrust of authority D. despair as a result