What is the derivative of sin(x-y) ?

The derivative of sin(x-y) is cos(x-y)(1-(dy)/(dx))

What is the first derivative of sin(x-y) ?

The first derivative of sin(x-y) is cos(x-y)(1-(dy)/(dx))

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

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

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

What is the derivative of sin(x-y) ?
The derivative of sin(x-y) is cos(x-y)(1-(dy)/(dx))
What is the first derivative of sin(x-y) ?
The first derivative of sin(x-y) is cos(x-y)(1-(dy)/(dx))