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

The derivative of cos(x)-sin(x) is -sin(x)-cos(x)

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

The first derivative of cos(x)-sin(x) is -sin(x)-cos(x)

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derivative of

cos (x) - sin (x)

- sin (x) - cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - sin (x) - cos (x)

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

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

\int e^{z + e^{z}} d z

\frac{d}{d x} (e^{15 x})

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

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