How do you find the derivative of arcsin(3x)?

1 Answer
Jim G.
Apr 19, 2018

3/sqrt(1-9x^2)

Explanation:

"differentiate using the "color(blue)"chain rule"

"Given "y=f(g(x))" then"

dy/dx=f'(g(x))xxg'(x)larrcolor(blue)"chain rule"

rArrd/dx(arcsin(3x))=1/sqrt(1-(3x)^2)xxd/dx(3x)

color(white)(xxxxxxxxxxxxx)=3/sqrt(1-9x^2)

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