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)

(9, - 5), (6, 4)

f (x) = \frac{1 + 3 x ^{\frac{1}{2}}}{5 + x ^{\frac{3}{2}}}

y = 7 x + 4

6 x^{2} cos (x) cot (x)

\int_{1}^{3} x^{3} + 2 x - 3 d x

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)