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

The derivative of 5sec(5x) is 25sec(5x)tan(5x)

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

The first derivative of 5sec(5x) is 25sec(5x)tan(5x)

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derivative of

5 sec (5 x)

25 sec (5 x) tan (5 x)

Solution steps

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

Take the constant out:

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

= 5 \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

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

Simplify

= 25 sec (5 x) tan (5 x)

\frac{d}{d x} (ln (5 x + 4))

x \to - 4 lim ((2 x^{3} - 3 x^{2})^{2})

\frac{d}{d x} (\frac{2 x ^{3} - 4 x ^{2} + 3}{x})

\frac{\partial}{\partial x} (- 9 e^{- 5 x y})

\int_{0}^{\frac{π}{6}} cos^{2} (3 x) d x

What is the derivative of 5sec(5x) ?
The derivative of 5sec(5x) is 25sec(5x)tan(5x)
What is the first derivative of 5sec(5x) ?
The first derivative of 5sec(5x) is 25sec(5x)tan(5x)