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

The derivative of x/(cos(x)) is sec(x)+xsec(x)tan(x)

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

The first derivative of x/(cos(x)) is sec(x)+xsec(x)tan(x)

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derivative of

\frac{x}{cos ( x )}

sec (x) + x sec (x) tan (x)

Solution steps

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

Simplify

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

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = sec (x)

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

\frac{d x}{d x} = 1

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

= 1 \cdot sec (x) + sec (x) tan (x) x

Simplify

= sec (x) + x sec (x) tan (x)

x^{3} - 6 x^{2} + 9 x + 2

x^{2 c o s (x)}

x = 4 sin (t)

y = - 30 \frac{ln ( \frac{1}{40} )}{ln ( 2 )}

\frac{d}{d x} (\frac{2}{x - 2})

What is the derivative of x/(cos(x)) ?
The derivative of x/(cos(x)) is sec(x)+xsec(x)tan(x)
What is the first derivative of x/(cos(x)) ?
The first derivative of x/(cos(x)) is sec(x)+xsec(x)tan(x)