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13-02-2020
Mathematics

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How would you find g’(x)?

How would you find gx class=

Respuesta :

MathPhys MathPhys

13-02-2020

Step-by-step explanation:

Use the Second Fundamental Theorem of Calculus.

If g(x) = ∫ₐᵇ f(t) dt, then g'(x) = f(b) db/dx.

In this case, g(x) = ∫₁ˣ 1/t dt. Therefore:

g'(x) = 1/x d(x)/dx

g'(x) = 1/x

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