The ______________ uses the derivative to estimate the change in f without compu

Question

The ______________ uses the derivative to estimate the change in f without computing it exactly.

Question 1 options:

Derivative

Linearization

Tangent line

Linear Approximation

Question 2 (2 points)

For values of x close to a, the linearization L(x) provides a good approximation to f(x).

Question 2 options:

Question 3 (1 point)

The percentage error can be found by taking the actual value divided by the error and multiplying by 100%.

Question 3 options:

Derivative

Linearization

Tangent line

Linear Approximation

Explanation / Answer

Question 1---- Linearization

Question 2--- True As linearization L(x) approximates the output of a function f(x) near x=a.

Question 3---- False, the The formula for calculating percentage error is

[(|Exact Value-Approximate Value|)/Exact Value] x 100

The approximate value is the estimated value, and the exact value is the real value. Once you find the absolute value of the difference between the approximate value and exact value, then divide it by the exact value and multiply the result by 100 to calculate the % error.

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