What is the derivative of 6sec(x^2) ?

The derivative of 6sec(x^2) is 12xsec(x^2)tan(x^2)

What is the first derivative of 6sec(x^2) ?

The first derivative of 6sec(x^2) is 12xsec(x^2)tan(x^2)

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\frac{d}{d x} (6 sec (x^{2}))

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

Solution steps

\frac{d}{d x} (6 sec (x^{2}))

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

d er i v a t i v e \frac{410 t}{( t ^{2} + 5 ) ^{3}}

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

x \to - 1 lim (F (x))

\int lo g_{e} (2 y + 1) d y

\int - \frac{3}{5} e^{x} d x

What is the derivative of 6sec(x^2) ?
The derivative of 6sec(x^2) is 12xsec(x^2)tan(x^2)
What is the first derivative of 6sec(x^2) ?
The first derivative of 6sec(x^2) is 12xsec(x^2)tan(x^2)