Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityDifferentiabilityMedium2 minQB

MathematicsMediummultiple choice

If $g = f^{- 1}$ and $f (x) = x^{2} + 3 x - 3$ for $x > 0$ , which expressions equal $g' (1)$ ?

Answer:

A, C

Solution:

$f (1) = 1$ , so $g (1) = 1$ . The inverse-function rule gives $g' (1) = 1/ f' (g (1)) = 1/ (2 g (1) + 3) = 1/5$ .

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Differentiability

⏱ 2mℹ️ Source: QB

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