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Popular >

derivative of sec^{11}(x)

Solution

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

Solution

11 sec^{11} (x) tan (x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sec (x)) = sec (x) tan (x)

= 11 (sec (x))^{10} sec (x) tan (x)

Simplify

11 sec^{10} (x) sec (x) tan (x) : 11 sec^{11} (x) tan (x)

= 11 sec^{11} (x) tan (x)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sec^{11}(x) ?
The derivative of sec^{11}(x) is 11sec^{11}(x)tan(x)
What is the first derivative of sec^{11}(x) ?
The first derivative of sec^{11}(x) is 11sec^{11}(x)tan(x)