Q87 / 155 · WBJEE 2020 · Mathematics

Let $y=f(x)=2 x^{2}-3 x+2$. The differential of $y$ when $x$ changes from 2 to $1.99$ is

A
$0.01$
B
$0.18$
Correct answer
C
$-0.05$
D
$0.07$

Solution

Hint: $\Delta x=-0.01 \Rightarrow \Delta y=f^{\prime}(x) \Delta x \Rightarrow \Delta y=f^{\prime}(2)(-0.01) \Rightarrow \Delta y=-5 \times 0.01 \Rightarrow \Delta y=-0.05$

Hence, the correct answer is option: 'C'.

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