What is the derivative of tan(x^2-1) ?

The derivative of tan(x^2-1) is sec^2(x^2-1)*2x

What is the first derivative of tan(x^2-1) ?

The first derivative of tan(x^2-1) is sec^2(x^2-1)*2x

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\frac{d}{d x} (tan (x^{2} - 1))

sec^{2} (x^{2} - 1) \cdot 2 x

Solution steps

\frac{d}{d x} (tan (x^{2} - 1))

Apply the chain rule:

sec^{2} (x^{2} - 1) \frac{d}{d x} (x^{2} - 1)

= sec^{2} (x^{2} - 1) \frac{d}{d x} (x^{2} - 1)

\frac{d}{d x} (x^{2} - 1) = 2 x

= sec^{2} (x^{2} - 1) \cdot 2 x

What is the derivative of tan(x^2-1) ?
The derivative of tan(x^2-1) is sec^2(x^2-1)*2x
What is the first derivative of tan(x^2-1) ?
The first derivative of tan(x^2-1) is sec^2(x^2-1)*2x