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Question
Differentiate y = `sqrt(x^2 + 5)` w.r. to x
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Solution
y = `sqrt(x^2 + 5)`
∴ `("d"y)/("d"x) = "d"/("d"x) (sqrt(x^2 + 5))`
= `1/(2sqrt(x^2 + 5)) * "d"/("d"x) (x^2 + 5)`
= `1/(2sqrt(x^2 + 5)) * (2x + 0)`
= `x/sqrt(x^2 + 5)`
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