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 x} ((8 x - x^{2})^{3})

\int (1 - sin^{2} (x)) d x

\frac{d}{d x} (- 4.9 x^{2} + 37)

\int_{0}^{π} sin (m x) e^{n x} d x

\int sin (\frac{x π}{2}) d x

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))