Question

d/dx (x²+a²) how to solve it
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Answer 1

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$\sf \frac{d}{dx} ( {x}^{2} + {a}^{2} )$

$\sf = \frac{d}{dx} ( {x}^{2} ) + \frac{d}{dx} ( {a}^{2} )$

$\sf = 2x + 0$

$\sf = 2x$

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$\sf \frac{d}{dx}( {x}^{n} ) = n {x}^{n - 1}$

The derivative of a constant is always 0.

$\sf \frac{d}{dx} (f + g) = \frac{d}{dx} (f) + \frac{d}{dx} (g)$

$\star\:\:\:\sf\large\underline\blue{Answer:-}$

• $\sf \frac{d}{dx} ( {x}^{2} + {a}^{2} ) = 2x$