Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMonotonicity-Increasing-DecreasingEasy2 minPYQ_2017

MathematicsEasysingle choice

The function $f$ defined by $f (x) = x^{3} - 3 x^{2} + 5 x + 7$ is:

Answer:

Solution:

We have $f (x) = x^{3} - 3 x^{2} + 5 x + 7$

$f^{'} (x) = 3 x^{2} - 6 x + 5 > 0$

$D = b^{2} - 4 a c = 36 - 4 \cdot 3 \cdot 5 = - 14 (- ve)$

Then, $f^{'} (x) > 0 .$

Hence, $f (x)$ is increasing in $R .$

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

⏱ 2mℹ️ Source: PYQ_2017

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