What is the derivative of sin(xy)+pi ?

The derivative of sin(xy)+pi is ycos(xy)

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

The first derivative of sin(xy)+pi is ycos(xy)

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derivative of

sin (x y) + π

y cos (x y)

Solution steps

\frac{d}{d x} (sin (x y) + π)

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d π}{d x} = 0

= cos (x y) y + 0

Simplify

= y cos (x y)

What is the derivative of sin(xy)+pi ?
The derivative of sin(xy)+pi is ycos(xy)
What is the first derivative of sin(xy)+pi ?
The first derivative of sin(xy)+pi is ycos(xy)