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

The derivative of f(x)=sqrt(cos(2x)) is 1/(2sqrt(cos(2x)))(-sin(2x)*2)

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

The first derivative of f(x)=sqrt(cos(2x)) is 1/(2sqrt(cos(2x)))(-sin(2x)*2)

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derivative of

f (x) = cos (2 x)

\frac{1}{2 cos ( 2 x )} (- sin (2 x) \cdot 2)

Solution steps

\frac{d}{d x} (cos (2 x))

Apply the chain rule:

\frac{1}{2 cos ( 2 x )} \frac{d}{d x} (cos (2 x))

= \frac{1}{2 cos ( 2 x )} \frac{d}{d x} (cos (2 x))

\frac{d}{d x} (cos (2 x)) = - sin (2 x) \cdot 2

= \frac{1}{2 cos ( 2 x )} (- sin (2 x) \cdot 2)

What is the derivative of f(x)=sqrt(cos(2x)) ?
The derivative of f(x)=sqrt(cos(2x)) is 1/(2sqrt(cos(2x)))(-sin(2x)*2)
What is the first derivative of f(x)=sqrt(cos(2x)) ?
The first derivative of f(x)=sqrt(cos(2x)) is 1/(2sqrt(cos(2x)))(-sin(2x)*2)