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

The derivative of sqrt(2cos(x)) is -(sin(x))/(sqrt(2)\sqrt{cos(x))}

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

The first derivative of sqrt(2cos(x)) is -(sin(x))/(sqrt(2)\sqrt{cos(x))}

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int \frac{6}{10 x - x ^{2}} d x

\frac{d}{d x} (x^{2} + \frac{128}{x})

y^{^{'''}} + 8 y^{^{''}} = - 6 x^{2} + 9 x + 2

ln (sec (2 x) + tan (2 x))

y^{^{'}} = (t + y) 2 - 1

What is the derivative of sqrt(2cos(x)) ?
The derivative of sqrt(2cos(x)) is -(sin(x))/(sqrt(2)\sqrt{cos(x))}
What is the first derivative of sqrt(2cos(x)) ?
The first derivative of sqrt(2cos(x)) is -(sin(x))/(sqrt(2)\sqrt{cos(x))}