What is the derivative of csc(sqrt(x+5)) ?

The derivative of csc(sqrt(x+5)) is -(cot(sqrt(x+5))csc(sqrt(x+5)))/(2sqrt(x+5))

What is the first derivative of csc(sqrt(x+5)) ?

The first derivative of csc(sqrt(x+5)) is -(cot(sqrt(x+5))csc(sqrt(x+5)))/(2sqrt(x+5))

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derivative of

csc (x + 5)

- \frac{cot ( x + 5 ) csc ( x + 5 )}{2 x + 5}

Solution steps

\frac{d}{d x} (csc (x + 5))

Apply the chain rule:

- cot (x + 5) csc (x + 5) \frac{d}{d x} (x + 5)

= - cot (x + 5) csc (x + 5) \frac{d}{d x} (x + 5)

\frac{d}{d x} (x + 5) = \frac{1}{2 x + 5}

= - cot (x + 5) csc (x + 5) \frac{1}{2 x + 5}

Simplify

- cot (x + 5) csc (x + 5) \frac{1}{2 x + 5} : - \frac{cot ( x + 5 ) csc ( x + 5 )}{2 x + 5}

= - \frac{cot ( x + 5 ) csc ( x + 5 )}{2 x + 5}

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

\int_{1}^{3} 4 d x

f (x) = sin (2 x^{3})

\int_{1}^{2} x x^{2} - 1 d x

x \to \infty lim (x - 3 x^{4})

What is the derivative of csc(sqrt(x+5)) ?
The derivative of csc(sqrt(x+5)) is -(cot(sqrt(x+5))csc(sqrt(x+5)))/(2sqrt(x+5))
What is the first derivative of csc(sqrt(x+5)) ?
The first derivative of csc(sqrt(x+5)) is -(cot(sqrt(x+5))csc(sqrt(x+5)))/(2sqrt(x+5))