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KCET2019MathematicsApplication of Derivatives

The sides of an equilateral triangle are increasing at the rate of ( 4 ~cm / sec ). The rate at which its area is increasing, when the side is ( 14 ~cm )

Options

  1. A( 14 3 ~cm ² / )
  2. B( 14 ~cm ² / sec )
  3. C( 10 3 ~cm ² / sec )
  4. Dnone

Correct answer

D. none

Step-by-step solution

Given Options are not matching ( d x d t =4 ~cm / sec , x=14 ~cm ) ( A= 3 4 x² ) ( d A d t = 3 4 2 x d x d t ) ( = 3 2 14 4 ) ( = 3 7 4 ) ( =28 3 )

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