What is the derivative of f(x)=sec^5(x) ?

The derivative of f(x)=sec^5(x) is 5sec^5(x)tan(x)

What is the first derivative of f(x)=sec^5(x) ?

The first derivative of f(x)=sec^5(x) is 5sec^5(x)tan(x)

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derivative of

f (x) = sec^{5} (x)

5 sec^{5} (x) tan (x)

Solution steps

\frac{d}{d x} (sec^{5} (x))

Apply the chain rule:

5 (sec (x))^{4} \frac{d}{d x} (sec (x))

= 5 (sec (x))^{4} \frac{d}{d x} (sec (x))

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

= 5 (sec (x))^{4} sec (x) tan (x)

Simplify

5 sec^{4} (x) sec (x) tan (x) : 5 sec^{5} (x) tan (x)

= 5 sec^{5} (x) tan (x)

\frac{d}{d x} (\frac{128000}{x} + x^{2})

\frac{\partial}{\partial x} (3 x^{2} + 4 x y + 2 y^{2})

\frac{\partial}{\partial x} (\frac{9 x y}{x - y})

4 cos (x), at x = - \frac{π}{3}

\int \frac{y}{2 + y ^{2}} d y

What is the derivative of f(x)=sec^5(x) ?
The derivative of f(x)=sec^5(x) is 5sec^5(x)tan(x)
What is the first derivative of f(x)=sec^5(x) ?
The first derivative of f(x)=sec^5(x) is 5sec^5(x)tan(x)