Free linear approximation calculator to calculate linear approximation. Instant results in your browser — no signup.
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Primary answer and useful breakdowns.
L(x) ≈
2.025000
L(x) = f(a) + f′(a)(x − a) at a = 4.0000
Exact f(x)
2.024846
Free linear approximation calculator to calculate linear approximation. Instant results in your browser — no signup. First-order Taylor polynomial: L(x) = f(a) + f′(a)(x−a).
First-order Taylor polynomial: L(x) = f(a) + f′(a)(x−a).
√x near 4: L(4.1) ≈ 2 + 0.25×0.1 = 2.025.
Best when x is close to a.