JEE Advanced Mathematics question

MathematicsMethods of DifferentiationsJEE Advanced

A particle moving on a curve has the position given by , at time where is a thrice-differentiable function. Then the velocity of the particle at time is

Answer: (B)

Solution

= f'' t + f' t + f''' t - f'' t = \{f'(t) + f'''(t)\} t,

= f'' t - f' t - f''' t - f'' t = -\{f'(t) +

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Question ID VK-109999