What is the derivative of tan(6x^2+3) ?

The derivative of tan(6x^2+3) is sec^2(6x^2+3)*12x

What is the first derivative of tan(6x^2+3) ?

The first derivative of tan(6x^2+3) is sec^2(6x^2+3)*12x

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

sec^{2} (6 x^{2} + 3) \cdot 12 x

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (6 x^{2} + 3) = 12 x

= sec^{2} (6 x^{2} + 3) \cdot 12 x

\int e^{3 x} cos (\frac{x}{3}) d x

4 tan (θ)

\frac{d}{d x} (\frac{( sin ( \frac{1}{x} ) \cdot x ^{3} )}{ln ( x )})

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\int_{0}^{\frac{11}{12}} 24 x d x

What is the derivative of tan(6x^2+3) ?
The derivative of tan(6x^2+3) is sec^2(6x^2+3)*12x
What is the first derivative of tan(6x^2+3) ?
The first derivative of tan(6x^2+3) is sec^2(6x^2+3)*12x