What is implicit (dy)/(dx),arctan(xy)=arcsin(4x+4y),(0,0) ?

The answer to implicit (dy)/(dx),arctan(xy)=arcsin(4x+4y),(0,0) is -1

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implicit (dy)/(dx),arctan(xy)=arcsin(4x+4y),(0,0)

implicit derivative

\frac{d y}{d x}, arctan (x y) = arcsin (4 x + 4 y), (0, 0)

- 1

Solution steps

arctan (x y) = arcsin (4 x + 4 y)

Implicit Derivative

\frac{d y}{d x}

arctan (x y) = arcsin (4 x + 4 y) : \frac{4 x ^{2} y ^{2} + 4 - y 1 - 16 x ^{2} - 32 x y - 16 y ^{2}}{x 1 - 16 y ^{2} - 16 x ^{2} - 32 x y - 4 x ^{2} y ^{2} - 4}

Substitute

x = 0, y = 0 : - 1

= - 1

What is implicit (dy)/(dx),arctan(xy)=arcsin(4x+4y),(0,0) ?
The answer to implicit (dy)/(dx),arctan(xy)=arcsin(4x+4y),(0,0) is -1