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

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

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

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

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derivative of

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 (4 - x^{2})^{\frac{3}{2}} x d x

\frac{d}{d x} ((x) x^{2} cos (x))

x \to 0 lim ((1 + 2 x)^{\frac{6}{x}})

n = 2 \sum \infty ln (ln (n))

x \to 3 lim (3 x - 5)

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