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

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

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

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

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derivative

cos (2 x) \cdot 2

Solution steps

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