What is the derivative of sin(2x+2sin(x)) ?

The derivative of sin(2x+2sin(x)) is cos(2x)*2+2cos(x)

What is the first derivative of sin(2x+2sin(x)) ?

The first derivative of sin(2x+2sin(x)) is cos(2x)*2+2cos(x)

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\frac{d}{d x} (sin (2 x) + 2 sin (x))

cos (2 x) \cdot 2 + 2 cos (x)

Solution steps

\frac{d}{d x} (sin (2 x) + 2 sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (2 x)) + \frac{d}{d x} (2 sin (x))

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

\frac{d}{d x} (2 sin (x)) = 2 cos (x)

= cos (2 x) \cdot 2 + 2 cos (x)

f (x) = 9^{x + 1}

y = 2 x^{2} - 7 x + 5

f (x) = x^{4} - 3 x^{2} + 3

f (x) = - 3 x^{2} + 5 x - 6

f (x) = - 3 x^{2} + 5 x - 2

What is the derivative of sin(2x+2sin(x)) ?
The derivative of sin(2x+2sin(x)) is cos(2x)*2+2cos(x)
What is the first derivative of sin(2x+2sin(x)) ?
The first derivative of sin(2x+2sin(x)) is cos(2x)*2+2cos(x)