Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-MinimaMedium2 minQB

MathematicsMediuminteger

If the greatest value of $(3 - 4 - x^{2})^{2} + (1 + 4 - x^{2})^{3}$ is $α$ , then the numerical value of $(\frac{α}{7})$ , is

Answer:

Solution:

Let $t = 4 - x^{2}, 0 \leq t \leq 2$

$∴ F (t) = (3 - t)^{2} + (1 + t)^{3}$ and maximum of $f (x)$ is 10

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Maxima-Minima

⏱ 2mℹ️ Source: QB

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