KCET · Maths · Area Under Curves
If \( f(x)=2 x^{2} \), find \( \frac{f(3.8)-f(4)}{3.8-4} \)
- A \( 1.56 \)
- B \( 156 \)
- C \( 15.6 \)
- D \( 0.156 \)
Answer & Solution
Correct Answer
(C) \( 15.6 \)
Step-by-step Solution
Detailed explanation
Given that, \( f(x)=2 x^{2} \)
So, \( \frac{f(3.8)-f(4)}{3.8-4} \)
\( =\frac{2(3.8)^{2}-2(4)^{2}}{3.8-4}=\frac{2(3.8-4)(3.8+4)}{(3.8-4)} \)
\( =2(3.8+4)=15.6 \)
So, \( \frac{f(3.8)-f(4)}{3.8-4} \)
\( =\frac{2(3.8)^{2}-2(4)^{2}}{3.8-4}=\frac{2(3.8-4)(3.8+4)}{(3.8-4)} \)
\( =2(3.8+4)=15.6 \)
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