What is the d/(da)(tan(a)+cot(a)) ?

The d/(da)(tan(a)+cot(a)) is -4cot(2a)csc(2a)

What is the first d/(da)(tan(a)+cot(a)) ?

The first d/(da)(tan(a)+cot(a)) is -4cot(2a)csc(2a)

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\frac{d}{d a} (tan (a) + cot (a))

- 4 cot (2 a) csc (2 a)

Solution steps

\frac{d}{d a} (tan (a) + cot (a))

Simplify

tan (a) + cot (a) : 2 csc (2 a)

= \frac{d}{d a} (2 csc (2 a))

Take the constant out:

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

= 2 \frac{d}{d a} (csc (2 a))

Apply the chain rule:

- cot (2 a) csc (2 a) \frac{d}{d a} (2 a)

= - cot (2 a) csc (2 a) \frac{d}{d a} (2 a)

\frac{d}{d a} (2 a) = 2

= 2 (- cot (2 a) csc (2 a) \cdot 2)

Simplify

= - 4 cot (2 a) csc (2 a)

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What is the d/(da)(tan(a)+cot(a)) ?
The d/(da)(tan(a)+cot(a)) is -4cot(2a)csc(2a)
What is the first d/(da)(tan(a)+cot(a)) ?
The first d/(da)(tan(a)+cot(a)) is -4cot(2a)csc(2a)