What is the derivative of tan(4x^5) ?

The derivative of tan(4x^5) is sec^2(4x^5)*20x^4

What is the first derivative of tan(4x^5) ?

The first derivative of tan(4x^5) is sec^2(4x^5)*20x^4

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

sec^{2} (4 x^{5}) \cdot 20 x^{4}

Solution steps

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

Apply the chain rule:

sec^{2} (4 x^{5}) \frac{d}{d x} (4 x^{5})

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

\frac{d}{d x} (4 x^{5}) = 20 x^{4}

= sec^{2} (4 x^{5}) \cdot 20 x^{4}

What is the derivative of tan(4x^5) ?
The derivative of tan(4x^5) is sec^2(4x^5)*20x^4
What is the first derivative of tan(4x^5) ?
The first derivative of tan(4x^5) is sec^2(4x^5)*20x^4