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Popular >

derivative of 2sec(3x^2)

Solution

\frac{d}{d x} (2 sec (3 x^{2}))

Solution

12 x sec (3 x^{2}) tan (3 x^{2})

Solution steps

\frac{d}{d x} (2 sec (3 x^{2}))

Take the constant out:

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

= 2 \frac{d}{d x} (sec (3 x^{2}))

Apply the chain rule:

sec (3 x^{2}) tan (3 x^{2}) \frac{d}{d x} (3 x^{2})

= sec (3 x^{2}) tan (3 x^{2}) \frac{d}{d x} (3 x^{2})

\frac{d}{d x} (3 x^{2}) = 6 x

= 2 sec (3 x^{2}) tan (3 x^{2}) \cdot 6 x

Simplify

= 12 x sec (3 x^{2}) tan (3 x^{2})

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Frequently Asked Questions (FAQ)

What is the derivative of 2sec(3x^2) ?
The derivative of 2sec(3x^2) is 12xsec(3x^2)tan(3x^2)
What is the first derivative of 2sec(3x^2) ?
The first derivative of 2sec(3x^2) is 12xsec(3x^2)tan(3x^2)