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Question
Differentiate the following w.r.t.x :
y = `x^(7/3) + 5x^(4/5) - 5/(x^(2/5))`
Solution
Let y = `x^(7/3) + 5x^(4/5) - 5/(x^(2/5))`
∴ `("d"y)/("d"x) = "d"/("d"x) [x^(7/3) + 5x^(4/5) - 5/(x^(2/5))]`
= `"d"/("d"x) (x^(7/3)) + "d"/("d"x)(5x^(4/5)) - "d"/("d"x)(5x^(-2/5))`
= `7/3x^(4/3) + 5 xx 4/5x^(-1/5) -5 xx (-2/5)x^(-7/5)`
= `7/3x^(4/3) + 4/(x^(1/5)) + 2/(x^(7/5))`
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