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If g(1)=-17 and g'(1)=5, estimate the value of g(1.2).

User Maheer Ali
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Final answer:

To estimate the value of g(1.2), use the linear approximation formula with g(1) and g'(1).

Step-by-step explanation:

To estimate the value of g(1.2), we can use the derivative g'(1) to find the slope of the tangent line at x = 1. Then, we can use this slope to find the approximate value of g(1.2) by using the formula for a linear approximation:



g(x) ≈ g(1) + g'(1)(x - 1)



Plugging in the given values of g(1) = -17 and g'(1) = 5, we have:



g(1.2) ≈ -17 + 5(1.2 - 1) = -17 + 5(0.2) = -17 + 1 = -16

User Martin Thiede
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