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

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

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

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

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derivative of

f (x) = 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)

x \to 4 lim ((x + 4)^{2})

\frac{x ^{2}}{x + 10}

y = 5^{4 x^{2} + 3 x}

9 x y^{2}

\frac{d}{d t} (ln (t + 1))

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