What is the derivative of cos(xy) ?

The derivative of cos(xy) is -sin(xy)y

What is the first derivative of cos(xy) ?

The first derivative of cos(xy) is -sin(xy)y

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derivative of

cos (x y)

- sin (x y) y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= - sin (x y) y

\frac{d}{d x} (\frac{2 a ^{3}}{x})

\frac{1}{( s + 2 ) ^{5}}

\frac{d}{d x} (\frac{1}{1 + ( 3 x + 1 ) ^{2}})

\frac{e ^{- 3 s}}{s}

\frac{d}{d x} (- arcsin (\frac{1}{x}) + e^{2})

What is the derivative of cos(xy) ?
The derivative of cos(xy) is -sin(xy)y
What is the first derivative of cos(xy) ?
The first derivative of cos(xy) is -sin(xy)y