How do you differentiate #arcsin(2x)#?
2 Answers
Jul 30, 2017
Explanation:
#•color(white)(x)d/dx(sin^-1x)=1/(sqrt(1-x^2))#
#"differentiate using the "color(blue)"chain rule"#
#•color(white)(x)d/dx(sin^-1(f(x)))=1/(sqrt(1-(f(x))^2)xxf'(x)#
#rArrd/dx(sin^-1(2x))#
#=1/(sqrt(1-(2x)^2))xxd/dx(2x)#
#=2/(sqrt(1-4x^2))#
Jul 30, 2017
The derivative is
Explanation:
Let
Differentiating with respect to
We know that
Therefore,