First slide

Application of diffrentiation

Question

If y = 3t² – 4t ; then minima of y will be at :

Moderate

A

3/2
B

3/4
C

2/3
D

4/3

Solution

$\begin{array}{l} y = 3 t^{2} - 4 t \\ \frac{d t}{d y} = 6 t - 4 = 0 \Rightarrow t = 2 / 3 \cdot \frac{d^{2} y}{d t^{2}} = 6 > 0 \\ Hence there will be minima at t = 2 / 3 \end{array}$

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