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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

f is a differentiable function such that x = f(t^2) , y = f(t^3) and f'(1) 0 if ( d^2 y dx^2 )_ t=1 =

Options

  1. A3 4 ( f''(1) + f'(1) (f'(1))^2 )
  2. B3 4 ( f'(1) f''(1) - f''(1) (f'(1))^2 )
  3. C4 3 f''(1) (f'(1))^2
  4. D4 3 ( f'(1) f''(1) - f''(1) (f'(1))^2 )

Correct answer

A. 3 4 ( f''(1) + f'(1) (f'(1))^2 )

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