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

The derivative of tan(x^x) is sec^2(x^x)x^x(ln(x)+1)

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

The first derivative of tan(x^x) is sec^2(x^x)x^x(ln(x)+1)

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

sec^{2} (x^{x}) x^{x} (ln (x) + 1)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x^{x}) = x^{x} (ln (x) + 1)

= sec^{2} (x^{x}) x^{x} (ln (x) + 1)

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