What is the derivative of 6sin(x+6cos(x)) ?

The derivative of 6sin(x+6cos(x)) is 6cos(x)-6sin(x)

What is the first derivative of 6sin(x+6cos(x)) ?

The first derivative of 6sin(x+6cos(x)) is 6cos(x)-6sin(x)

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\frac{d}{d x} (6 sin (x) + 6 cos (x))

6 cos (x) - 6 sin (x)

Solution steps

\frac{d}{d x} (6 sin (x) + 6 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 sin (x)) + \frac{d}{d x} (6 cos (x))

\frac{d}{d x} (6 sin (x)) = 6 cos (x)

\frac{d}{d x} (6 cos (x)) = - 6 sin (x)

= 6 cos (x) - 6 sin (x)

\int x ln (x) ln (x) d x

\frac{1}{4}

\int lo g_{3} (x) d x

\int 5 arctan (x) d x

\frac{\partial}{\partial x} (- e^{- 2 t} sin (x))

What is the derivative of 6sin(x+6cos(x)) ?
The derivative of 6sin(x+6cos(x)) is 6cos(x)-6sin(x)
What is the first derivative of 6sin(x+6cos(x)) ?
The first derivative of 6sin(x+6cos(x)) is 6cos(x)-6sin(x)