Question

What is differentiation of sin inverse x/y with respect to x​

Answer 1

Answer:

sin(y) = sin(arcsin(x)) = x. Next, differentiate both ends of this formula. We apply the chain rule to the left end, remembering that the derivative of the sine function is the cosine function and that y is a differentiable function of x.

Step-by-step explanation:

HoPe It HeLp'S UhH ☺

☹SaD BlAcK DaY FoR InDiA ('° ---- °') ☹

¹⁴ FÈB ²⁰¹⁹

PLS FLW ME PLS ☹PLS

THANKS =THANKS ☺

जय महाकाल

✌ITZ AbUsiNg QuEeN✌

Answer 2

.sin(y) = sin(arcsin(x)) = x. Next, differentiate both ends of this formula. We apply the chain rule to the left end, remembering that the derivative of the sine function is the cosine function and that y is a differentiable function of x.

...

y = arcsin(x) -1 x 1.

d dx sin(y) = d dx x

cos(y) dy dx = 1