Q.Let g : [1,4] –R be continuous function. Define G(x) = Sa 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 c. G(x) is differentiable on [1,4]...


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

Extracted text: Q.Let g : [1,4] –R be continuous function. Define G(x) = Sa 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 c. G(x) is differentiable on [1,4] and G = 2xg(x²). d. G(x) is differentiable on (1,4) and G = 2xg(x² ). dG dx = g(x²). dx dx d

Jun 04, 2022
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