If f(x) = (x + 1)/x then df(x)/dx is
(a) 1/x
(b)-1/x
(C)-1/2
(d) 1/2
a
ь
C
d
Answers
Answered by
9
-1/x is the answer of your question.
Answered by
2
If then df(x)/ dx is -1/x²
The equation given is,
Process 1:
Now, we can simplify the equation like the following,
Next, differentiate this equation using simple derivative formula, i.e. ,
= ⁻¹
Given,
By differentiating this equation, we get,
= ⁻¹
⇒ = 0 + [ -1 × ⁽⁻¹⁻¹⁾] [∵ derivative of any constant is 0]
⇒ =
∴ The answer is -1/x².
Process 2:
We can also use the formula of differentiating of an equation given as division.
In that case we should use the formula,
By replacing f(x) with (x+1) and g(x) with x, and solving the equation, we also get the answer as -1/x².
∴ In both the cases, we get the same answer, i.e., -1/x².
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