What is the derivative of 2/(cos(7x)) ?

The derivative of 2/(cos(7x)) is 14sec(7x)tan(7x)

What is the first derivative of 2/(cos(7x)) ?

The first derivative of 2/(cos(7x)) is 14sec(7x)tan(7x)

\frac{d}{d x} (\frac{2}{cos ( 7 x )})

14 sec (7 x) tan (7 x)

Solution steps

\frac{d}{d x} (\frac{2}{cos ( 7 x )})

Simplify

\frac{2}{cos ( 7 x )} : 2 sec (7 x)

= \frac{d}{d x} (2 sec (7 x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (sec (7 x))

Apply the chain rule:

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

= sec (7 x) tan (7 x) \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x) = 7

= 2 sec (7 x) tan (7 x) \cdot 7

Simplify

= 14 sec (7 x) tan (7 x)

t an g e n t f (x) = x^{4}

t an g e n t y = x + \frac{2}{x}, (2, 3)

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

\frac{\partial}{\partial x} (A x + B y + C x^{2} y)

l a pl a ce t r an s f or m 5 t^{2}

What is the derivative of 2/(cos(7x)) ?
The derivative of 2/(cos(7x)) is 14sec(7x)tan(7x)
What is the first derivative of 2/(cos(7x)) ?
The first derivative of 2/(cos(7x)) is 14sec(7x)tan(7x)