Economical Calculus of the Society and the Stock Market
The value of shares of Precision Tangent Engineering has increased with respect to time and they are related by the equation . Find the approximate change in the value of shares of Precision Tangent Engineering as the time increases from 2 to 2.02 ( in random units)
The answer is 0.326.
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1 solution
Using the Fundamental Theorem of Calculus
f ′ ( x ) = 1 2 x 2 − 1 6 x
f ′ ( 2 ) = l i m h → 0 f ( 2 + h ) − f ( 2 ) h .
h = 0 . 0 2 , then we should have
f ( 2 + h ) − f ( 2 ) h ≈ f ′ ( 2 ) .
f ( 2 + h ) − f ( 2 ) ≈ ( f ′ ( 2 ) ) h .
So the answer is 0.32.