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)

\int_{0}^{k} \frac{1}{x ^{2} + 1} d x

\int \frac{e ^{2 x}}{2} d x

n = 0 \sum \infty \frac{n ^{3}}{n !}

e^{x} y \frac{d y}{d x} = e^{- y} + e^{- 7 x - y}

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

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)