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Estimate the instantaneous rate of change of y(x)=4x2+1 at the point x=1Your answer should be accurate to at least 2 decimal places.

Estimate The Instantaneous Rate Of Change Of Yx4x21 At The Point X1Your Answer Should Be Accurate To At Least 2 Decimal Places class=

Answer :

Given a function:

[tex]y(x)=4x^2+1[/tex]

We have to find the instantaneous rate of change of the function at x = 1.

We know that the instantaneous rate of change of the function is equal to the derivative of the function. so,

[tex]\begin{gathered} \text{ROC}=y^{\prime}(x) \\ =8x+0 \\ =8x \end{gathered}[/tex]

at x = 1, the rate of change is:

[tex]\text{ROC}=8(1)=8[/tex]

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