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Let y = 3x2 + 2. If x changes from 10 to 10.1, then what is the total change in y?

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  1. 4.71
  2. 5.23
  3. 6.03
  4. 8.01

Answer (Detailed Solution Below)

Option 3 : 6.03
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Detailed Solution

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Concept:

Let small charge in x be Δx and the corresponding change in y is Δy.

Therefore 

 

Calculation:

Given: y = 3x2 + 2

To Find: total change in y = Δy

x changes from 10 to 10.1

So, Δx = 10.1 - 10 = 0.1

Now, y = 3x2 + 2

Differentiating with respect to x, we get

As we know, 

Put x = 10 and Δx = 0.1

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