What is the derivative of-1/(4sin(x)) ?

The derivative of-1/(4sin(x)) is (cot(x))/(4sin(x))

What is the first derivative of-1/(4sin(x)) ?

The first derivative of-1/(4sin(x)) is (cot(x))/(4sin(x))

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\frac{d}{d x} (- \frac{1}{4 sin ( x )})

\frac{cot ( x )}{4 sin ( x )}

Solution steps

\frac{d}{d x} (- \frac{1}{4 sin ( x )})

Take the constant out:

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

= - \frac{1}{4} \frac{d}{d x} (\frac{1}{sin ( x )})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= - \frac{1}{4} \frac{d}{d x} (sin^{- 1} (x))

Apply the chain rule:

- \frac{1}{( sin ( x ) ) ^{2}} \frac{d}{d x} (sin (x))

= - \frac{1}{( sin ( x ) ) ^{2}} \frac{d}{d x} (sin (x))

\frac{d}{d x} (sin (x)) = cos (x)

= - \frac{1}{4} (- \frac{1}{( sin ( x ) ) ^{2}} cos (x))

Simplify

- \frac{1}{4} (- \frac{1}{sin ^{2} ( x )} cos (x)) : \frac{cot ( x )}{4 sin ( x )}

= \frac{cot ( x )}{4 sin ( x )}

\frac{1}{- 0.75 y - 0.00003} y^{^{'}} = 1

\int x^{3} x^{2} + 5 d x

\int \frac{9 - 162 x}{49 - 81 x ^{2}} d x

y \to 5 + lim (y - 5)

What is the derivative of-1/(4sin(x)) ?
The derivative of-1/(4sin(x)) is (cot(x))/(4sin(x))
What is the first derivative of-1/(4sin(x)) ?
The first derivative of-1/(4sin(x)) is (cot(x))/(4sin(x))