What is the derivative of csc^{11}(x) ?

The derivative of csc^{11}(x) is -11csc^{11}(x)cot(x)

What is the first derivative of csc^{11}(x) ?

The first derivative of csc^{11}(x) is -11csc^{11}(x)cot(x)

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\frac{d}{d x} (csc^{11} (x))

- 11 csc^{11} (x) cot (x)

Solution steps

\frac{d}{d x} (csc^{11} (x))

Apply the chain rule:

11 (csc (x))^{10} \frac{d}{d x} (csc (x))

= 11 (csc (x))^{10} \frac{d}{d x} (csc (x))

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

= 11 (csc (x))^{10} (- cot (x) csc (x))

Simplify

11 csc^{10} (x) (- cot (x) csc (x)) : - 11 csc^{11} (x) cot (x)

= - 11 csc^{11} (x) cot (x)

y = 7^{x}

f (x) = 9 x - 6 x, (1, 3)

\int \frac{8 x ^{2} - 1}{x ^{2}} d x

f (x) \frac{7}{x}, at a = 3

What is the derivative of csc^{11}(x) ?
The derivative of csc^{11}(x) is -11csc^{11}(x)cot(x)
What is the first derivative of csc^{11}(x) ?
The first derivative of csc^{11}(x) is -11csc^{11}(x)cot(x)