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MHT CET202210 Aug 2022Evening ShiftMathematicsApplication of DerivativesActual

For every value of x [1,3] , the function f(x)= 1 8^x is

Options

  1. Aincreasing for x>2 and decreasing for x 2 .
  2. Bneither increasing nor decreasing.
  3. Cdecreasing.
  4. Dincreasing.

Correct answer

C. decreasing.

Step-by-step solution

aligned & f(x)= 1 8^x =8^ -x & f^ (x)=8^ -x 8 (-1) & f^ (x)= - 8 8^x <0 x [1,3] & f(x) is decreasing x [1,3] aligned

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