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Popular Calculus >

derivative of cos((sqrt(3))/2 x)

Solution

derivative of

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

Solution

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

Solution steps

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

Simplify

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

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

Apply the chain rule:

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

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

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

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

Graph

Popular Examples

derivative of ln(sqrt(x^2+19))

\frac{d}{d x} (ln (x^{2} + 19))

tangent of f(x)=sqrt(5x+6),\at a=2

t an g e n t f (x) = 5 x + 6, at a = 2

2x^2-80x+y^2+49=0(0)

2 x^{2} - 80 x + y^{2} + 49 = 0 (0)

integral from 1 to 2 of 4-x^2

\int_{1}^{2} 4 - x^{2} d x

limit as (x,x^5) approaches (0,0) of (x^5y)/(x^{10)+y^5}

(x, x^{5}) \to (0, 0) lim (\frac{x ^{5} y}{x ^{10} + y ^{5}})

Frequently Asked Questions (FAQ)

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