What is the derivative of sec(x^3) ?

The derivative of sec(x^3) is sec(x^3)tan(x^3)*3x^2

What is the first derivative of sec(x^3) ?

The first derivative of sec(x^3) is sec(x^3)tan(x^3)*3x^2

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int x \cdot e^{- a \cdot x} d x

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\frac{d y}{d x} = - \frac{6 x}{y}

\frac{200}{t + 2}

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