What is the derivative of this function #sin^-1 (5x)#?
2 Answers
Apr 13, 2017
Explanation:
Recall:
By the above rule (
I hope that this was clear.
Apr 13, 2017
Explanation:
#color(orange)"Reminder " d/dx(sin^-1x)=1/(sqrt(1-x^2))#
#"and " d/dx(sin^-1(f(x)))=(f'(x))/(sqrt(1-f(x)^2)#
#rArrd/dx(sin^-1(5x))#
#=5/(sqrt(1-(5x)^2))#
#=5/(sqrt(1-25x^2))#