What is the derivative of sqrt(sec(5x^2)) ?

The derivative of sqrt(sec(5x^2)) is sqrt(sec(5))

What is the first derivative of sqrt(sec(5x^2)) ?

The first derivative of sqrt(sec(5x^2)) is sqrt(sec(5))

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\frac{d}{d x} (sec (5) x^{2})

sec (5)

Solution steps

\frac{d}{d x} (sec (5) x^{2})

Apply the chain rule:

\frac{1}{2 sec ( 5 ) x ^{2}} \frac{d}{d x} (sec (5) x^{2})

= \frac{1}{2 sec ( 5 ) x ^{2}} \frac{d}{d x} (sec (5) x^{2})

\frac{d}{d x} (sec (5) x^{2}) = 2 sec (5) x

= \frac{1}{2 sec ( 5 ) x ^{2}} \cdot 2 sec (5) x

Simplify

\frac{1}{2 sec ( 5 ) x ^{2}} \cdot 2 sec (5) x : sec (5)

= sec (5)

n = 1 \sum \infty \frac{7}{n ^{5}}

y = 5 x^{2}

\frac{d}{d x} (\frac{4 e ^{x}}{x})

f (x) = x^{2 c o s (x)}

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

What is the derivative of sqrt(sec(5x^2)) ?
The derivative of sqrt(sec(5x^2)) is sqrt(sec(5))
What is the first derivative of sqrt(sec(5x^2)) ?
The first derivative of sqrt(sec(5x^2)) is sqrt(sec(5))