What is the derivative of f(x)=sin(x)+cos(x) ?

The derivative of f(x)=sin(x)+cos(x) is cos(x)-sin(x)

What is the first derivative of f(x)=sin(x)+cos(x) ?

The first derivative of f(x)=sin(x)+cos(x) is cos(x)-sin(x)

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derivative of

f (x) = sin (x) + cos (x)

cos (x) - sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= cos (x) - sin (x)

\int sin^{4} (3 x) d x

A e^{- 4}

\int \frac{x}{x ^{2} + x - 6} d x

\frac{2}{3 ( s + 1 ) ^{2} - 27}

\int \frac{x + 5}{x ^{2} + 9} d x

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