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

\frac{d}{d x} (g (x) (x)^{2} (x))

2 x e^{x} + x^{2} e^{x}

200 x - \frac{x ^{2}}{30}

\int (x^{2} - 1) e^{x^{3} - 3 x - 5} d x

f (x) = \frac{x ^{2}}{x + 4}, at x = 3

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