JEE Main & Advanced
Mathematics
Applications of Derivatives
Question Bank
Numerical Value Type Questions - Tangent and Normal
question_answer
A particle moves along the curve \[y={{x}^{3/2}}\]in the first quadrant in such a way that its distance from the origin increase at the rate of 11 units per second. Then find the value of\[\frac{dx}{dt}at\,x=3\].