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Question
Differentiate the following w.r.t.x. :
y = x5 tan x
Sum
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Solution
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)
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