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

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

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

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

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

cos (2 x) \cdot 2

Solution steps

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

Simplify

2 sin (x) cos (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

\int \frac{1}{2 + 2 x - x ^{2}} d x

\frac{1}{x + 1}

\int sin^{3} (x) cos^{4} (x) d x

x \to - 1 lim (\frac{x + 1}{∣ x + 1 ∣})

\int_{1}^{9} \frac{1}{x} d x

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