What is the derivative of 2cos(xsin(x)) ?

The derivative of 2cos(xsin(x)) is cos(2x)*2

What is the first derivative of 2cos(xsin(x)) ?

The first derivative of 2cos(xsin(x)) is cos(2x)*2

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

cos (2 x) \cdot 2

Solution steps

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

Simplify

2 cos (x) sin (x) : sin (2 x)

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

Apply the chain rule:

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

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

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

= cos (2 x) \cdot 2

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