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Question
Differentiate the following w.r.t.x :
y = `sqrt(x) + tan x - x^3`
Solution
Let y = `sqrt(x) + tan x - x^3`
∴ `("d"y)/("d"x) = "d"/("d"x) (sqrt(x) + tan x - x^3)`
= `"d"/("d"x)(sqrt(x)) + "d"/("d"x) (tanx) - "d"/("d"x)(x^3)`
= `1/(2sqrt(x)) + sec^2x - 3x^2`.
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