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

The derivative of tan(x^pi) is sec^2(x^pi)pix^{pi-1}

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

The first derivative of tan(x^pi) is sec^2(x^pi)pix^{pi-1}

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derivative of

tan (x^{π})

sec^{2} (x^{π}) π x^{π - 1}

Solution steps

\frac{d}{d x} (tan (x^{π}))

Apply the chain rule:

sec^{2} (x^{π}) \frac{d}{d x} (x^{π})

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

\frac{d}{d x} (x^{π}) = π x^{π - 1}

= sec^{2} (x^{π}) π x^{π - 1}

3 x^{2} + 12, 4 x + 4, - 3, 3

\int e^{x^{2} + x} d x

x \to 3 lim (5 x^{2} - 3 x + 5)

\int \frac{( cos ^{2} ( x ) )}{( sin ^{2} ( x ) )} d x

\int \frac{1}{x ^{2} + 4 x + 10} d x

What is the derivative of tan(x^pi) ?
The derivative of tan(x^pi) is sec^2(x^pi)pix^{pi-1}
What is the first derivative of tan(x^pi) ?
The first derivative of tan(x^pi) is sec^2(x^pi)pix^{pi-1}