Find the derivative of 2x4+x.

1.	Find the derivative of 2x4+x.
Answer» Let y = 2x⁴ + x ∴ \(\frac{dy}{dx}=\frac{d}{dx}(2x^4+x)\) \(=\frac{d}{dx}2x^4+\frac{d}{dx}x\) \(=2\frac{d}{dx}2x^4+1\) = 2∙4∙x³ + 1 = 8x³ + 1.

Answer»

Let y = 2x⁴ + x

∴ \(\frac{dy}{dx}=\frac{d}{dx}(2x^4+x)\)

\(=\frac{d}{dx}2x^4+\frac{d}{dx}x\)

\(=2\frac{d}{dx}2x^4+1\)

= 2∙4∙x³ + 1

= 8x³ + 1.

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