what is the differentiation of 1/x pls explain
Shivam , 10 Years ago
Grade 12
Differential Calculus> what is the differentiation of 1/x pls ex...
1 Answers
Jitender Singh
Last Activity: 10 Years ago
Ans: -1/x^2
Sol: Let f(x) = 1/x
Then by definition of differentiation, we have
df(x)/dx = lim(h –> 0)(([f(x+h)] – [f(x)])/ h))
df(x)/dx = lim(h → 0)(([1/(x + h)] – [1/x]/h))
df(x)/dx = lim(h → 0)(-h/h.x.(x +h))
df(x)/dx = lim(h → 0)(-1/x.(x + h))
df(x)/dx = -1/x^2
Thanks & Regards
Jitender Singh
IIT Delhi
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