Question
Download Solution PDFLet y = 3x2 + 2. If x changes from 10 to 10.1, then what is the total change in y?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
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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