What is the derivative of cos(3x+sin(3x)) ?

The derivative of cos(3x+sin(3x)) is -sin(3x)*3+cos(3x)*3

What is the first derivative of cos(3x+sin(3x)) ?

The first derivative of cos(3x+sin(3x)) is -sin(3x)*3+cos(3x)*3

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\frac{d}{d x} (cos (3 x) + sin (3 x))

- sin (3 x) \cdot 3 + cos (3 x) \cdot 3

Solution steps

\frac{d}{d x} (cos (3 x) + sin (3 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cos (3 x)) + \frac{d}{d x} (sin (3 x))

\frac{d}{d x} (cos (3 x)) = - sin (3 x) \cdot 3

\frac{d}{d x} (sin (3 x)) = cos (3 x) \cdot 3

= - sin (3 x) \cdot 3 + cos (3 x) \cdot 3

y^{^{''}} - 3 y^{^{'}} + 2 y = 2 e^{3 t}

\frac{d}{d x} (0.75 - 2 x sin (0.1 x))

y^{^{''}} + 25 y = 10 sin (5 x)

x \to 0 lim (ln (3 - x))

\frac{s}{s ^{2} + 8}

What is the derivative of cos(3x+sin(3x)) ?
The derivative of cos(3x+sin(3x)) is -sin(3x)*3+cos(3x)*3
What is the first derivative of cos(3x+sin(3x)) ?
The first derivative of cos(3x+sin(3x)) is -sin(3x)*3+cos(3x)*3