Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMonotonicity-Increasing-DecreasingHard2 minPYQ_2021

MathematicsHardnumerical

The number of distinct real roots of the equation $3 x^{4} + 4 x^{3} - 12 x^{2} + 4 = 0$ is _________.

Answer:

4.00

Solution:

$3 x^{4} + 4 x^{3} - 12 x^{2} + 4 = 0$

So,

let $f (x) = 3 x^{4} + 4 x^{3} - 12 x^{2} + 4$

$∴ f^{'} (x) = 12 x (x^{2} + x - 2)$

$= 12 x (x + 2) (x - 1)$

$f (0) = 4$

$f (1) = - 1$

Ans. $4$

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

⏱ 2mℹ️ Source: PYQ_2021

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