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

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

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

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

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derivative of

tan (3 x^{2})

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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