Differentiate the following with respect to x:

x⁴ – 2sin x + 3 cos x

Given,

f(x) = x⁴ – 2sin x + 3 cos x

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) = 4x^{4 – 1} – 2 cos x + 3 ( – sin x)

⇒ f’(x) = 4x³ – 2 cos x – 3 sin x