Differentiate with respect to x $x^{4} + 3 x^{2} - 2 x$

4 x^{3} + 6 x - 2

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4 x^{3} + 6 x - 3

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4 x^{4} + 6 x - 2

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None of the above

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Solution

The correct option is A $4 x^{3} + 6 x - 2$
Given, $y = x^{4} + 3 x^{2} - 2 x$
Now, differentiating w.r.t $x$ , we get

$\frac{d y}{d x} = \frac{d (x^{4})}{d x} + \frac{d (3 x^{2})}{d x} - \frac{d (2 x)}{d x}$

$\frac{d y}{d x} = 4 x^{3} + 6 x - 2$

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