What is the derivative of 4sec(5x) ?

The derivative of 4sec(5x) is 20sec(5x)tan(5x)

What is the first derivative of 4sec(5x) ?

The first derivative of 4sec(5x) is 20sec(5x)tan(5x)

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\frac{d}{d x} (4 sec (5 x))

20 sec (5 x) tan (5 x)

Solution steps

\frac{d}{d x} (4 sec (5 x))

Take the constant out:

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

= 4 \frac{d}{d x} (sec (5 x))

Apply the chain rule:

sec (5 x) tan (5 x) \frac{d}{d x} (5 x)

= sec (5 x) tan (5 x) \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= 4 sec (5 x) tan (5 x) \cdot 5

Simplify

= 20 sec (5 x) tan (5 x)

f (t) = \frac{t ^{2}}{t ^{3} + 1}

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

\frac{y ^{\frac{3}{2}}}{3} - y^{\frac{1}{2}}

f (x) = ln (sinh (x^{2}))

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

What is the derivative of 4sec(5x) ?
The derivative of 4sec(5x) is 20sec(5x)tan(5x)
What is the first derivative of 4sec(5x) ?
The first derivative of 4sec(5x) is 20sec(5x)tan(5x)