If you know that R' (20)=50 and R''(20)=-4, approximate R'(24)

Mathematics

1 answer:

vladimir1956 [14]2 years ago

4 0

Approximate R' by using a linear approximation: for x close enough to 24, you have

R'(x) ≈ L(x) = R' (20) + R'' (20) (x - 20)

Then

R' (24) ≈ R' (20) + R'' (20) (24 - 20) = -4 + 50 (24 - 20) = 196

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