What is the derivative of f(x)=4sec(4x) ?

The derivative of f(x)=4sec(4x) is 16sec(4x)tan(4x)

What is the first derivative of f(x)=4sec(4x) ?

The first derivative of f(x)=4sec(4x) is 16sec(4x)tan(4x)

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derivative of

f (x) = 4 sec (4 x)

16 sec (4 x) tan (4 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

sec (4 x) tan (4 x) \frac{d}{d x} (4 x)

= sec (4 x) tan (4 x) \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= 4 sec (4 x) tan (4 x) \cdot 4

Simplify

= 16 sec (4 x) tan (4 x)

\int (6 x^{5} + 7) x^{6} + 7 x d x

lo g_{e} (sec (\frac{1}{5 x}))

\frac{5}{s ^{2}}

\int e^{2 t} cos (e^{t}) d t

x \to + 3 + lim (\frac{x + 9}{x - 3})

What is the derivative of f(x)=4sec(4x) ?
The derivative of f(x)=4sec(4x) is 16sec(4x)tan(4x)
What is the first derivative of f(x)=4sec(4x) ?
The first derivative of f(x)=4sec(4x) is 16sec(4x)tan(4x)