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Popular >

derivative of x^2+pi^2+x^pi

Solution

\frac{d}{d x} (x^{2} + π^{2} + x^{π})

Solution

2 x + π x^{π - 1}

Solution steps

\frac{d}{d x} (x^{2} + π^{2} + x^{π})

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (π^{2}) = 0

\frac{d}{d x} (x^{π}) = π x^{π - 1}

= 2 x + 0 + π x^{π - 1}

Simplify

= 2 x + π x^{π - 1}

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Frequently Asked Questions (FAQ)

What is the derivative of x^2+pi^2+x^pi ?
The derivative of x^2+pi^2+x^pi is 2x+pix^{pi-1}
What is the first derivative of x^2+pi^2+x^pi ?
The first derivative of x^2+pi^2+x^pi is 2x+pix^{pi-1}