What is the derivative of 1/(cos(sqrt(x))) ?

The derivative of 1/(cos(sqrt(x))) is (sec(sqrt(x))tan(sqrt(x)))/(2sqrt(x))

What is the first derivative of 1/(cos(sqrt(x))) ?

The first derivative of 1/(cos(sqrt(x))) is (sec(sqrt(x))tan(sqrt(x)))/(2sqrt(x))

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\frac{d}{d x} (\frac{1}{cos ( x )})

\frac{sec ( x ) tan ( x )}{2 x}

Solution steps

\frac{d}{d x} (\frac{1}{cos ( x )})

Simplify

\frac{1}{cos ( x )} : sec (x)

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

Apply the chain rule:

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

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

\frac{d}{d x} (x) = \frac{1}{2 x}

= sec (x) tan (x) \frac{1}{2 x}

Simplify

sec (x) tan (x) \frac{1}{2 x} : \frac{sec ( x ) tan ( x )}{2 x}

= \frac{sec ( x ) tan ( x )}{2 x}

\frac{s + 1}{( s + 2 ) ( s + 3 )}

x \to 0 + lim (ln (\frac{7}{x ^{2}}))

n = 1 \sum \infty (\frac{3}{8})^{1 - n}

x \to 1 lim (e^{6 x^{4} - 6 x})

f^{^{'}} (x) = 2^{x}

What is the derivative of 1/(cos(sqrt(x))) ?
The derivative of 1/(cos(sqrt(x))) is (sec(sqrt(x))tan(sqrt(x)))/(2sqrt(x))
What is the first derivative of 1/(cos(sqrt(x))) ?
The first derivative of 1/(cos(sqrt(x))) is (sec(sqrt(x))tan(sqrt(x)))/(2sqrt(x))