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Sagot :
The estimate for f(4.8) using the local linear approximation for f at x= 5 is obtained as 2.2.
Explain the term differentiable function?
- Any point within the domain of a function's domain has a derivative, making it a differentiable function with one real variable.
- In other words, each interior point in the domain of a differentiable function's graph does have a non-vertical tangent line.
For the stated function;
f(5)=3 and f′(5)=4
the linear approximation indicates that you believe the function is linear.
So just do this:
f(5) + f'(5) (x-5)
Put the values in the obtained function;
In this particular instance, it works out.
= 3 + 4 (4.8 - 5)
= 3 + 4 (-0.2)
= 2.2
Thus, the estimate for f(4.8) using the local linear approximation for f at x= 5 is obtained as 2.2.
To know more about the differentiable function, here
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