Question

Differentiate with respect to given variable...​

Answer 1

$y = {x}^{2} \times (2 {x}^{2} - 5) \\ y = 2 {x}^{4 } - 5 {x}^{2} \\ \\ \frac{dy}{dx} = \frac{d}{dx} (2 {x}^{4} - 5 {x}^{2} ) \\ = \frac{d}{dx} (2 {x}^{4} ) - \frac{d}{dx} (5 {x}^{2} ) \\ = 2\frac{d}{dx} ({x}^{4} ) - 5 \frac{d}{dx} ( {x}^{2} ) \\ = 2 ( 4{x}^{3} ) - 5(2 x) \\ = 8 {x}^{3} - 10x$