What is the derivative of (2sin(x)/(sec(x))) ?

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

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

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

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

cos (2 x) \cdot 2

Solution steps

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

Simplify

\frac{2 sin ( x )}{sec ( 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

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