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

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

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

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

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derivative of

y = 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)

\frac{d}{d x} (sin (2 x + 1))

t an g e n t \frac{10 x}{1 + x ^{2}}

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

\int \frac{( 2 x + 5 )}{x ^{2} + 5 x + 6} d x

\int \frac{21 x ^{2}}{x ^{2} - 4} d x

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