Question

How would you find g’(x)?

Answer 1

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