Q.Let g : [1,4] –R be continuous function. .2 Define G(x) = S g(t)dt. Then a. G(x) is differentiable on [1,4] and dG = g(x²). b. G(x) is differentiable on (1,4) and = g(x2). = 2xg(x?). 2æg(x²). %3D c....


Q.Let g : [1,4] –R be continuous function.<br>.2<br>Define G(x) = S g(t)dt. Then<br>a. G(x) is differentiable on [1,4] and dG =<br>g(x²).<br>b. G(x) is differentiable on (1,4) and = g(x2).<br>= 2xg(x?).<br>2æg(x²).<br>%3D<br>c. G(x) is differentiable on [1,4] and dG<br>d. G(x) is differentiable on (1,4) and<br>dG<br>=<br>dx<br>a<br>d<br>

Extracted text: Q.Let g : [1,4] –R be continuous function. .2 Define G(x) = S g(t)dt. Then a. G(x) is differentiable on [1,4] and dG = g(x²). b. G(x) is differentiable on (1,4) and = g(x2). = 2xg(x?). 2æg(x²). %3D c. G(x) is differentiable on [1,4] and dG d. G(x) is differentiable on (1,4) and dG = dx a d

Jun 04, 2022
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