What is the derivative of y=6cot(3x) ?

The derivative of y=6cot(3x) is -18csc^2(3x)

What is the first derivative of y=6cot(3x) ?

The first derivative of y=6cot(3x) is -18csc^2(3x)

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derivative of

y = 6 cot (3 x)

- 18 csc^{2} (3 x)

Solution steps

\frac{d}{d x} (6 cot (3 x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{d}{d x} (cot (3 x))

Apply the chain rule:

- csc^{2} (3 x) \frac{d}{d x} (3 x)

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

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

= 6 (- csc^{2} (3 x) \cdot 3)

Simplify

= - 18 csc^{2} (3 x)

\frac{d}{d x} ((x - 6) (5 x + 1))

f (x) = \frac{- x ^{2} - 6}{( x ^{2} - 6 ) ^{2}}

\frac{\partial ^{2}}{\partial y ^{2}} (\frac{x y}{x - y})

\int \frac{3 + x}{1 - x ^{2}} d x

y = (5 - x^{2})^{5}

What is the derivative of y=6cot(3x) ?
The derivative of y=6cot(3x) is -18csc^2(3x)
What is the first derivative of y=6cot(3x) ?
The first derivative of y=6cot(3x) is -18csc^2(3x)