Use part 1 of the fundamental theorem of calculus to find the derivative of the function. g(x) = x e2t2 − 4t dt 4

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01-05-2018
Mathematics

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Use part 1 of the fundamental theorem of calculus to find the derivative of the function. g(x) = x e2t2 − 4t dt 4

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LammettHash LammettHash · Answer 1 · 2018-05-04T18:35:39+02:00

LammettHash LammettHash

04-05-2018

Looks like

[tex]\displaystyle g(x)=\int_4^xe^{2t^2-4t}\,\mathrm dt[/tex]

By the FTC,

[tex]\dfrac{\mathrm dg}{\mathrm dx}=e^{2x^2-4x}\cdot\dfrac{\mathrm dx}{\mathrm dx}=e^{2x^2-4x}[/tex]

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