What is the derivative of 8cot((pix)/(16)) ?

The derivative of 8cot((pix)/(16)) is -pi/2 csc^2((pix)/(16))

What is the first derivative of 8cot((pix)/(16)) ?

The first derivative of 8cot((pix)/(16)) is -pi/2 csc^2((pix)/(16))

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derivative of

8 cot (\frac{π x}{16})

- \frac{π}{2} csc^{2} (\frac{π x}{16})

Solution steps

\frac{d}{d x} (8 cot (\frac{π x}{16}))

Take the constant out:

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

= 8 \frac{d}{d x} (cot (\frac{π x}{16}))

Apply the chain rule:

- csc^{2} (\frac{π x}{16}) \frac{d}{d x} (\frac{π x}{16})

= - csc^{2} (\frac{π x}{16}) \frac{d}{d x} (\frac{π x}{16})

\frac{d}{d x} (\frac{π x}{16}) = \frac{π}{16}

= 8 (- csc^{2} (\frac{π x}{16}) \frac{π}{16})

Simplify

8 (- csc^{2} (\frac{π x}{16}) \frac{π}{16}) : - \frac{π}{2} csc^{2} (\frac{π x}{16})

= - \frac{π}{2} csc^{2} (\frac{π x}{16})

\frac{d}{d x} (3 sec (5 x))

\frac{d}{d x} (7 arctan (x))

x \to 1 lim (4 x - x^{2})

y = x^{3} - 3 x^{2} + 2, (3, 2)

y^{^{''}} + 36 y = 48 sec (6 t)

What is the derivative of 8cot((pix)/(16)) ?
The derivative of 8cot((pix)/(16)) is -pi/2 csc^2((pix)/(16))
What is the first derivative of 8cot((pix)/(16)) ?
The first derivative of 8cot((pix)/(16)) is -pi/2 csc^2((pix)/(16))