What is the derivative of sec^7(x) ?

The derivative of sec^7(x) is 7sec^7(x)tan(x)

What is the first derivative of sec^7(x) ?

The first derivative of sec^7(x) is 7sec^7(x)tan(x)

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derivative of

sec^{7} (x)

7 sec^{7} (x) tan (x)

Solution steps

\frac{d}{d x} (sec^{7} (x))

Apply the chain rule:

7 (sec (x))^{6} \frac{d}{d x} (sec (x))

= 7 (sec (x))^{6} \frac{d}{d x} (sec (x))

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

= 7 (sec (x))^{6} sec (x) tan (x)

Simplify

7 sec^{6} (x) sec (x) tan (x) : 7 sec^{7} (x) tan (x)

= 7 sec^{7} (x) tan (x)

4 - x^{2}

\frac{d y}{d x} = 2 x

\frac{d}{d x} (3 x + 3)

\int x^{\frac{1}{8}} + y^{\frac{1}{8}}

y^{^{''}} + k \cdot y = 0

What is the derivative of sec^7(x) ?
The derivative of sec^7(x) is 7sec^7(x)tan(x)
What is the first derivative of sec^7(x) ?
The first derivative of sec^7(x) is 7sec^7(x)tan(x)