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MHT CET202016 Oct 2020Evening ShiftMathematicsApplication of DerivativesActual

For every value of x , the function f(x)= 1 a^ x , a>0 is

Options

  1. Adecreasing
  2. Bincreasing
  3. CConstant
  4. DNeither increasing nor decreasing

Correct answer

A. decreasing

Step-by-step solution

(D) aligned f ( x )=& 1 a ^ x = a ^ - x f ^ ( x ) &=- a ^ - x _ e a =- _ e a a ^ x = < 0 aligned So f ( x ) is decreasing for all x .

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