Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMonotonicity-Increasing-DecreasingEasy2 minQB

MathematicsEasysingle choice

Find all $m$ for which $f (x) = 3 + m x + e^{- x}$ is decreasing for every real $x$ .

Answer:

Solution:

$f (x) = m - e^{- x}$ . This is nonpositive for every real $x$ exactly when $m \leq 0$ .

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Monotonicity-Increasing-Decreasing

⏱ 2mℹ️ Source: QB

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