Let f(x)=sqrt(1-sinx) What is the domain of f(x), find f'(x), what is the domain of f'(x) and write an equation for the line tangent to the graph of f at x=0

Expert Answers

An illustration of the letter 'A' in a speech bubbles

`f(x) = sqrt(1-sin(x))`

Domain of f(x) -->

Domain of sin(x) is all the Real numbers,  `x in R` . For all the real numbers, sine would be in the following range,


Therefore, multiplying by -1,


Adding +1,




We know for all real numbers `1- sin(x)` will be positive.

Therefore the expression inside the squareroot is always positive for all `x in R` . Therefore the Domain...

(The entire section contains 264 words.)

Unlock This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial
Approved by eNotes Editorial Team