What is the derivative of cos((3x/2)) ?

The derivative of cos((3x/2)) is -sin((3x)/2) 3/2

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

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

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

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

Solution steps

\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}

\frac{d}{d x} (9 x^{2} + 9)

\int sec^{4} (5 x) d x

f (x) = 2^{x}, at x = 0

\int \frac{1}{9 + x ^{2}} d x

y = \frac{- 5}{3 x}

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