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Application of Derivatives question

2022 · 30 Jun · Shift 1 · Q29

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2022 · 30 Jun · Shift 1 · Q29

Application of Derivatives question

2022 · 30 Jun · Shift 1 · Q29

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let

f(x) = 4{x^3} - 11{x^2} + 8x - 5,\,x \in R

. Then f :

A
has a local minina at $x = {1 \over 2}$
B
has a local minima at $x = {3 \over 4}$
C
is increasing in $\left( {{1 \over 2},{3 \over 4}} \right)$
D
is decreasing in $\left( {{1 \over 2},{4 \over 3}} \right)$

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