Let be differentiable on its domain

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

f

be differentiable on its domain. Define

g(x)=\displaystyle\int_{2}^{x^{2}} f(t)\,dt

. Determine

g'(x)

in terms of

f

and

x

.

Related theory

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