What is the d/(da)(csc(a)tan(a)cos(a)-csc^2(a)) ?

The d/(da)(csc(a)tan(a)cos(a)-csc^2(a)) is 2csc^2(a)cot(a)

What is the first d/(da)(csc(a)tan(a)cos(a)-csc^2(a)) ?

The first d/(da)(csc(a)tan(a)cos(a)-csc^2(a)) is 2csc^2(a)cot(a)

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\frac{d}{d a} (csc (a) tan (a) cos (a) - csc^{2} (a))

2 csc^{2} (a) cot (a)

Solution steps

\frac{d}{d a} (csc (a) tan (a) cos (a) - csc^{2} (a))

Simplify

csc (a) tan (a) cos (a) - csc^{2} (a) : - cot^{2} (a)

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= - 2 cot (a) (- csc^{2} (a))

Simplify

= 2 csc^{2} (a) cot (a)

x \to 0 lim (ln (x^{2} + 1))

y^{^{''}} + 3 y^{^{'}} - 4 y = 0

\int (cos (x)) (tan (x)) d x

x \to 3 - lim (\frac{x - 3}{x - 3})

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