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Popular >

derivative of sqrt(2+cos(2x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

inverse oflaplace s/((s^2+49)(s^2+1))inverse laplace

\frac{s}{( s ^{2} + 49 ) ( s ^{2} + 1 )}

partialfraction x/(x^2-9)partial fractions

\frac{x}{x ^{2} - 9}

d/(dy)(sinh(y))

\frac{d}{d y} (sinh (y))

implicit x^2+11xy+y^2=11 implicit derivative

x^{2} + 11 x y + y^{2} = 11

x(x^3+1)y^'+(2x^3-1)y=((x^3-2))/x

x (x^{3} + 1) y^{^{'}} + (2 x^{3} - 1) y = \frac{( x ^{3} - 2 )}{x}

Frequently Asked Questions (FAQ)

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