Differentiate the following with respect to x:

Given,

f(x) =

⇒ f(x) =

⇒ f(x) = 2x² + 10x – 1 – 5x ^{– 1}

we need to find f’(x), so differentiating both sides with respect to x –

∴

Using algebra of derivatives –

⇒ f’(x) =

Use the formula:

∴ f’(x) = 2(2x^{2 – 1}) + 10(1) – ( – 1)(0)– 5( – 1)x ^{– 1 – 1}

⇒ f’(x) = 4x + 10 + 0 + 5x ^{– 2}

∴ f’(x) = 4x + 10 + 5x ^{– 2}