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Popular >

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}

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derivative of 2000(1-x/(600))^2 derivative of

2000 (1 - \frac{x}{600})^{2}

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

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

integral of 3/(sqrt(6x-x^2))

\int \frac{3}{6 x - x ^{2}} d x

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

f (x) = 5 x + 6, at a = 2

derivative of ln(x^2-14x)

\frac{d}{d x} (ln (x^{2} - 14 x))

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