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) = 4x4 – 1 – 2 cos x + 3 ( – sin x)
⇒ f’(x) = 4x3 – 2 cos x – 3 sin x