Differentiate with respect to x...
$(x^{2} + y^{2})^{2}$

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Solution

$\frac{d (x^{2} + y^{2})^{2}}{d x}$
$2 (x^{2} + y^{2}) \times \frac{d (x^{2} + y^{2})}{d x}$ [using chain rule]
$2 (x^{2} + y^{2}) \times (2 x + y^{2} \frac{d y}{d x})$
$4 x^{3} + 4 x y^{2} + 2 x^{2} y^{2} \frac{d y}{d x} + 2 y^{4} \frac{d y}{d x}$

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