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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f(x)=x2−x+5,x>12f(x)=x^{2}-x+5, x>\frac{1}{2}, and g(x)\mathrm{g}(\mathrm{x}) is its inverse function, then g′(7)\mathrm{g}^{\prime}(7) equals:
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Correct option: C
13\frac{1}{3}
Option C (13\frac{1}{3}) is correct because it is the value of the derivative of the inverse function at x=7.

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