What is the derivative for
1+x^2 divided by 2

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Solution

Dear Student,

$L e t y = \frac{1 + x^{2}}{2} d e r i v a t i v e o f t h i s i s \frac{d}{d x} y = \frac{d}{d x} [\frac{1 + x^{2}}{2}] \frac{d y}{d x} = \frac{d}{d x} [\frac{1}{2}] + \frac{d}{d x} [\frac{x^{2}}{2}] \frac{d y}{d x} = 0 + \frac{2 x}{2} \frac{d y}{d x} = x H e n c e t h e d e r i v a t i v e o f \frac{1 + x^{2}}{2} i s x$
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