What is the derivative of x^pi+pi^x ?

The derivative of x^pi+pi^x is pix^{pi-1}+pi^xln(pi)

What is the first derivative of x^pi+pi^x ?

The first derivative of x^pi+pi^x is pix^{pi-1}+pi^xln(pi)

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\frac{d}{d x} (x^{π} + π^{x})

π x^{π - 1} + π^{x} ln (π)

Solution steps

\frac{d}{d x} (x^{π} + π^{x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (x^{π}) = π x^{π - 1}

\frac{d}{d x} (π^{x}) = π^{x} ln (π)

= π x^{π - 1} + π^{x} ln (π)

\int_{1}^{6} \frac{7 ln ( x )}{x ^{2}} d x

x \to 8 lim (2 x - 3)

\int_{1}^{3} 4 r^{4} ln (r) d r

2^{x^{2} + x}

\int ∣ x - 2 ∣ d x

What is the derivative of x^pi+pi^x ?
The derivative of x^pi+pi^x is pix^{pi-1}+pi^xln(pi)
What is the first derivative of x^pi+pi^x ?
The first derivative of x^pi+pi^x is pix^{pi-1}+pi^xln(pi)