What is the derivative of 10sin(x+10sqrt(3)cos(x)) ?

The derivative of 10sin(x+10sqrt(3)cos(x)) is 10cos(x)-10sqrt(3)sin(x)

What is the first derivative of 10sin(x+10sqrt(3)cos(x)) ?

The first derivative of 10sin(x+10sqrt(3)cos(x)) is 10cos(x)-10sqrt(3)sin(x)

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\frac{d}{d x} (10 sin (x) + 103 cos (x))

10 cos (x) - 103 sin (x)

Solution steps

\frac{d}{d x} (10 sin (x) + 103 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (10 sin (x)) + \frac{d}{d x} (103 cos (x))

\frac{d}{d x} (10 sin (x)) = 10 cos (x)

\frac{d}{d x} (103 cos (x)) = - 103 sin (x)

= 10 cos (x) - 103 sin (x)

What is the derivative of 10sin(x+10sqrt(3)cos(x)) ?
The derivative of 10sin(x+10sqrt(3)cos(x)) is 10cos(x)-10sqrt(3)sin(x)
What is the first derivative of 10sin(x+10sqrt(3)cos(x)) ?
The first derivative of 10sin(x+10sqrt(3)cos(x)) is 10cos(x)-10sqrt(3)sin(x)