What is the derivative of (4cos^2(x))/(sin^2(x)) ?

The derivative of (4cos^2(x))/(sin^2(x)) is -8csc^2(x)cot(x)

What is the first derivative of (4cos^2(x))/(sin^2(x)) ?

The first derivative of (4cos^2(x))/(sin^2(x)) is -8csc^2(x)cot(x)

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derivative of

\frac{4 cos ^{2} ( x )}{sin ^{2} ( x )}

- 8 csc^{2} (x) cot (x)

Solution steps

\frac{d}{d x} (\frac{4 cos ^{2} ( x )}{sin ^{2} ( x )})

Simplify

\frac{4 cos ^{2} ( x )}{sin ^{2} ( x )} : 4 cot^{2} (x)

= \frac{d}{d x} (4 cot^{2} (x))

Take the constant out:

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

= 4 \frac{d}{d x} (cot^{2} (x))

Apply the chain rule:

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

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

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

= 4 \cdot 2 cot (x) (- csc^{2} (x))

Simplify

= - 8 csc^{2} (x) cot (x)

\frac{( x + 4 )}{( ( 2 x + 3 ) ( x + 1 ) )}

\frac{1}{r ^{3}}

y = cos (5 x + 4)

t^{0}

\frac{1}{x ^{2} + a ^{2}}

What is the derivative of (4cos^2(x))/(sin^2(x)) ?
The derivative of (4cos^2(x))/(sin^2(x)) is -8csc^2(x)cot(x)
What is the first derivative of (4cos^2(x))/(sin^2(x)) ?
The first derivative of (4cos^2(x))/(sin^2(x)) is -8csc^2(x)cot(x)