If f ( x ) = 2 x 2 , find f ( 3 . 8 ) - f ( 4 ) 3 . 8 - 4 .

Question

If $f (x) = 2 x^{2}$ , find $\frac{f (3.8) - f (4)}{3.8 - 4}$ .

Smart Achievers · Accepted Answer

(4)

Given, $f (x) = 2 x^{2}$

$\Rightarrow$ $f (3.8) = 2 \times 3.8 \times 3.8 = 28.88$

$\Rightarrow$ $f (4) = 2 \times 4 \times 4 = 32$

$∴$ $\frac{f (3.8) - f (4)}{3.8 - 4} = \frac{28.88 - 32}{3.8 - 4} = \frac{3.12}{0.2} = 15.6$

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