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MHT CET202020 Oct 2020Evening ShiftMathematicsApplication of DerivativesActual

The function f(x)=3 x⁴+16 x³-30 x²+10 is increasing for

Options

  1. Aevery real value of x
  2. Bx=0, x=1 only
  3. Cx (-5,0) (1, )
  4. Dx [0,1]

Correct answer

C. x (-5,0) (1, )

Step-by-step solution

f(x)=3 x⁴+16 x³-30 x²+10 f^ (x)=12 x³+48 x²-60 x When f^ (x)>0 , we write x (12 x²+48 x-60 )>012 x (x²+4 x-5 )>0 f^ (x)>0 , when x (-5,0) (1, )

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