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Popular >

derivative of cos(2/3 x)

Solution

derivative of

cos (\frac{2}{3} x)

Solution

- sin (\frac{2 x}{3}) \frac{2}{3}

Solution steps

\frac{d}{d x} (cos (\frac{2}{3} x))

Simplify

cos (\frac{2}{3} x) : cos (\frac{2 x}{3})

= \frac{d}{d x} (cos (\frac{2 x}{3}))

Apply the chain rule:

- sin (\frac{2 x}{3}) \frac{d}{d x} (\frac{2 x}{3})

= - sin (\frac{2 x}{3}) \frac{d}{d x} (\frac{2 x}{3})

\frac{d}{d x} (\frac{2 x}{3}) = \frac{2}{3}

= - sin (\frac{2 x}{3}) \frac{2}{3}

Popular Examples

integral of sin(x)cos^7(x)

\int sin (x) cos^{7} (x) d x

derivative of 24sqrt(x)

\frac{d}{d x} (24 x)

(\partial)/(\partial x)((xy)/(6x+7y))

\frac{\partial}{\partial x} (\frac{x y}{6 x + 7 y})

integral of sqrt(x^2+2x-8)

\int x^{2} + 2 x - 8 d x

integral of (cos(1/(x^2)))/(x^3)

\int \frac{cos ( \frac{1}{x ^{2}} )}{x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the derivative of cos(2/3 x) ?
The derivative of cos(2/3 x) is -sin((2x)/3) 2/3
What is the first derivative of cos(2/3 x) ?
The first derivative of cos(2/3 x) is -sin((2x)/3) 2/3