Question

Differentiate the following w.r.t.x. :

y = x⁵ tan x

Answer 1

y = x⁵ tan x

Differentiating w.r.t. x, we get

`("d"y)/("d"x) = "d"/("d"x)(x^5 tanx)`

= `"x"^5 "d"/("d"x) tanx + tanx "d"/("d"x) x^5`

= x⁵ sec²x + tan x (5x⁴)

= x⁴ (x sec²x + 5tan x)