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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\frac{d}{d 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)

Simplify

= sin (x) + cos (x)

f (x) = (3 x^{2} + 1)^{4}

3 + 5 x^{2} - 2 x^{3}

\int \frac{x ^{2} - 4}{x ^{2}} d x

\int (\frac{3}{x} + x) d x

y = 2 x, y = 2 x^{3}

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)