What is the derivative of sin(xy) ?

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

What is the first derivative of sin(xy) ?

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

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\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}{d r} ((S (r)) (k S (r)))

x^{900} - 1

3 x + 3 y + a x + a y

\frac{e ^{2} - 1}{2}

x^{2} + \frac{1}{3} x + 3 x + 1

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