What is the derivative of tan(2x^3) ?

The derivative of tan(2x^3) is sec^2(2x^3)*6x^2

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

The first derivative of tan(2x^3) is sec^2(2x^3)*6x^2

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int \frac{x}{x ^{4} - 16 x ^{2} + 39} d x

y = x + x^{2} + x^{3}, x = 1

\int_{0}^{e} a^{x} d x

\frac{\partial}{\partial v} (u^{2} - v^{2})

\int - 3 cos (2 x) d x

What is the derivative of tan(2x^3) ?
The derivative of tan(2x^3) is sec^2(2x^3)*6x^2
What is the first derivative of tan(2x^3) ?
The first derivative of tan(2x^3) is sec^2(2x^3)*6x^2