What is the derivative of tan(x^5) ?

The derivative of tan(x^5) is sec^2(x^5)*5x^4

What is the first derivative of tan(x^5) ?

The first derivative of tan(x^5) is sec^2(x^5)*5x^4

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derivative of

tan (x^{5})

sec^{2} (x^{5}) \cdot 5 x^{4}

Solution steps

\frac{d}{d x} (tan (x^{5}))

Apply the chain rule:

sec^{2} (x^{5}) \frac{d}{d x} (x^{5})

= sec^{2} (x^{5}) \frac{d}{d x} (x^{5})

\frac{d}{d x} (x^{5}) = 5 x^{4}

= sec^{2} (x^{5}) \cdot 5 x^{4}

What is the derivative of tan(x^5) ?
The derivative of tan(x^5) is sec^2(x^5)*5x^4
What is the first derivative of tan(x^5) ?
The first derivative of tan(x^5) is sec^2(x^5)*5x^4