Given,

f(x) = 3^x + x³ + 3³

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) = 3^x log_e 3 – 3x^{3 – 1} + 0

⇒ f’(x) = 3^x log_e 3 – 3x²