What is the derivative of sec^9(x) ?

The derivative of sec^9(x) is 9sec^9(x)tan(x)

What is the first derivative of sec^9(x) ?

The first derivative of sec^9(x) is 9sec^9(x)tan(x)

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derivative of

sec^{9} (x)

9 sec^{9} (x) tan (x)

Solution steps

\frac{d}{d x} (sec^{9} (x))

Apply the chain rule:

9 (sec (x))^{8} \frac{d}{d x} (sec (x))

= 9 (sec (x))^{8} \frac{d}{d x} (sec (x))

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

= 9 (sec (x))^{8} sec (x) tan (x)

Simplify

9 sec^{8} (x) sec (x) tan (x) : 9 sec^{9} (x) tan (x)

= 9 sec^{9} (x) tan (x)

y^{^{''}} + 2 y^{^{'}} + y = e^{- x} ln (x)

\frac{d}{d x} (\frac{x ^{6}}{6} - \frac{x ^{5}}{5} + 20)

f (x) = x, g (x) = x, x = 0, x = 2

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 1, y^{^{'}} (0) = 2

n = 1 \sum \infty \frac{1}{n ^{3}}

What is the derivative of sec^9(x) ?
The derivative of sec^9(x) is 9sec^9(x)tan(x)
What is the first derivative of sec^9(x) ?
The first derivative of sec^9(x) is 9sec^9(x)tan(x)