What is the derivative of f(x)=3sec(5x) ?

The derivative of f(x)=3sec(5x) is 15sec(5x)tan(5x)

What is the first derivative of f(x)=3sec(5x) ?

The first derivative of f(x)=3sec(5x) is 15sec(5x)tan(5x)

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derivative of

f (x) = 3 sec (5 x)

15 sec (5 x) tan (5 x)

Solution steps

\frac{d}{d x} (3 sec (5 x))

Take the constant out:

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

= 3 \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

= 3 sec (5 x) tan (5 x) \cdot 5

Simplify

= 15 sec (5 x) tan (5 x)

What is the derivative of f(x)=3sec(5x) ?
The derivative of f(x)=3sec(5x) is 15sec(5x)tan(5x)
What is the first derivative of f(x)=3sec(5x) ?
The first derivative of f(x)=3sec(5x) is 15sec(5x)tan(5x)