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

The derivative of (xe^x^pi) is pi(xe^x)^{pi-1}(e^x+e^xx)

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

The first derivative of (xe^x^pi) is pi(xe^x)^{pi-1}(e^x+e^xx)

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\frac{d}{d x} ((x e^{x})^{π})

π (x e^{x})^{π - 1} (e^{x} + e^{x} x)

Solution steps

\frac{d}{d x} ((x e^{x})^{π})

Apply the chain rule:

π (x e^{x})^{π - 1} \frac{d}{d x} (x e^{x})

= π (x e^{x})^{π - 1} \frac{d}{d x} (x e^{x})

\frac{d}{d x} (x e^{x}) = e^{x} + e^{x} x

= π (x e^{x})^{π - 1} (e^{x} + e^{x} x)

\int \frac{e ^{x}}{3 + e ^{x}} d x

\int ln (13 t) d t

\int r^{2} (r^{3} - 2)^{2} d r

H (- 5) = 2^{x}

\frac{d}{d x} (\frac{( x + 1 )}{x})

What is the derivative of (xe^x^pi) ?
The derivative of (xe^x^pi) is pi(xe^x)^{pi-1}(e^x+e^xx)
What is the first derivative of (xe^x^pi) ?
The first derivative of (xe^x^pi) is pi(xe^x)^{pi-1}(e^x+e^xx)