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

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

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

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

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derivative of

f (x) = 3 sin (x) + 3 cos (x)

3 cos (x) - 3 sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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