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

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

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

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

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\frac{d}{d 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)

\int \frac{x}{3 - 4 x ^{2}} d x

x \to \infty lim (91)

\int \frac{2 x}{x ^{2} + 2 x + 1} d x

\int (12 x + 5) d x

(x^{2} + 1) \frac{d y}{d x} + 8 x (y - 1) = 0

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