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

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

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

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

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derivative of

y = 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 2 tan^{2} (x) + tan^{4} (x) d x

\int \frac{x}{3 x + 1} d x

\int \frac{tan ( θ )}{sec ( θ )} d θ

\int x cos (πn x) d x

x \to 0 lim (\frac{3 x ^{2}}{x ^{2}})

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