Given,

f(x) =

⇒ f(x) =

⇒ f(x) = – 0.5 log x + 5x^a – 3a^x + x^2/3 + 6x ^{– 3/4}

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) =

⇒ f’(x) =

∴ f’(x) =