How do you differentiate y=sin^-1(x/3)?
1 Answer
Nov 23, 2016
Explanation:
differentiate using the
color(blue)"chain rule"
color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(sin^-1(f(x)))=1/(sqrt(1-f(x)^2)).d/dx(f(x)))color(white)(2/2)|)))
rArrdy/dx=1/(sqrt(1-(x/3)^2)).d/dx(1/3x)
=1/(sqrt(1-x^2/9))xx1/3=1/(3sqrt(1/9(9-x^2)
=1/sqrt(9-x^2)
