What is the derivative derivative of sin(xy) ?

The derivative derivative of sin(xy) is cos(xy)(y+x(dy)/(dx))

What is the first derivative derivative of sin(xy) ?

The first derivative derivative of sin(xy) is cos(xy)(y+x(dy)/(dx))

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derivative of

\frac{d}{d x} (sin (x y))

cos (x y) (y + x \frac{d y}{d x})

Solution steps

\frac{d}{d x} (sin (x y))

Apply the chain rule:

cos (x y) \frac{d}{d x} (x y)

= cos (x y) \frac{d}{d x} (x y)

\frac{d}{d x} (x y) = y + x \frac{d y}{d x}

= cos (x y) (y + x \frac{d y}{d x})

\frac{d y}{d x} y = sin (x)

\frac{d}{d x} (4)

\frac{d}{d x} (csc (2 x))

\frac{d}{d x} y = \frac{1}{( x - 1 )}

\frac{d}{d x} (arccsc (x))

What is the derivative derivative of sin(xy) ?
The derivative derivative of sin(xy) is cos(xy)(y+x(dy)/(dx))
What is the first derivative derivative of sin(xy) ?
The first derivative derivative of sin(xy) is cos(xy)(y+x(dy)/(dx))