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

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

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

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

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derivative of

sin (3 x) + cos (3 x)

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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