To find: Differentiation of x⁴ tan x

Formula used: (i) (uv)′ = u′v + uv′ (Leibnitz or product rule)

(ii)

(iii)

Let us take u = x⁴ and v = tan x

Putting the above obtained values in the formula:-

(uv)′ = u′v + uv′

(x⁴ tan x)’ = 4x³× tanx + x⁴× sec²x

= 4x³tanx + x⁴sec²x

= x³ (4tanx + xsec²x)

Ans) x³ (4tanx + xsec²x)