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

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

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

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

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

0

x \to 0 lim (5 sin (x) ln (x))

\frac{d}{d x} (4 - \frac{35}{8 x ^{\frac{1}{8}}})

\int x e^{2 x^{2}} d x

\frac{\partial}{\partial y} (x + 3 x^{3} sin (y))

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