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

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

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

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

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

- sin (x - y) (1 - \frac{d y}{d x})

Solution steps

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

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

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

\frac{\partial}{\partial y} (6 y + \frac{1}{x} - \frac{x}{y ^{2}})

\frac{d}{d x} (\frac{x}{x + 8})

\int 3 - x^{2} d x

\frac{1}{s ^{2} + 7 s}

\int 1 + e^{- x} d x

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