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Calculus · DER

Linear Approximation and Differentials

L(x) = f(a) + f'(a)(x − a) is the linearization of f at x = a. Good approximation when x is near a.

CalculusCommon Core CHA-2.CDERVerified correct ✓

Worked examples

Use the linearization of f(x) = cos(x) at x = 0 to approximate cos(0.05). Round to 4 decimal places.
Answer: 1
Use the linearization of f(x) = cos(x) at x = 0 to approximate cos(0.1). Round to 4 decimal places.
Answer: 1

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