Question

if y=sin^-1(5x), then dy/dx=

Answer 1

chain rule for this one.
but first you need to know the derivative of
\[\sin^{-1}(x)\] do you know it?

Answer 2

no

Answer 3

it is
\[\frac{d}{dx}\sin^{-1}(x)=\frac{1}{\sqrt{1-x^2}}\] then use the chain rule

Answer 4

so
\[\frac{d}{dx}\sin^{-1}(5x)=\frac{5}{\sqrt{1-(5x)^2}}\]

Answer 5

but the answer is 5\square root(1-25x^2) but idk how thats the answer