What is the derivative of tan(x^8) ?

The derivative of tan(x^8) is sec^2(x^8)*8x^7

What is the first derivative of tan(x^8) ?

The first derivative of tan(x^8) is sec^2(x^8)*8x^7

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derivative of

tan (x^{8})

sec^{2} (x^{8}) \cdot 8 x^{7}

Solution steps

\frac{d}{d x} (tan (x^{8}))

Apply the chain rule:

sec^{2} (x^{8}) \frac{d}{d x} (x^{8})

= sec^{2} (x^{8}) \frac{d}{d x} (x^{8})

\frac{d}{d x} (x^{8}) = 8 x^{7}

= sec^{2} (x^{8}) \cdot 8 x^{7}

What is the derivative of tan(x^8) ?
The derivative of tan(x^8) is sec^2(x^8)*8x^7
What is the first derivative of tan(x^8) ?
The first derivative of tan(x^8) is sec^2(x^8)*8x^7