Differentiating an integral that contains dy/du w.r.t x

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QUESTION



I have to differentiate both sides of this equation by dx, I have seen the answer but I still don't understand it, can anyone explain please?




calculus




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    up vote
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    down vote

    favorite












    QUESTION



    I have to differentiate both sides of this equation by dx, I have seen the answer but I still don't understand it, can anyone explain please?




    calculus




    share|cite|improve this question





















      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      QUESTION



      I have to differentiate both sides of this equation by dx, I have seen the answer but I still don't understand it, can anyone explain please?




      calculus




      share|cite|improve this question











      QUESTION



      I have to differentiate both sides of this equation by dx, I have seen the answer but I still don't understand it, can anyone explain please?





      calculus





      share|cite|improve this question










      share|cite|improve this question




      share|cite|improve this question









      asked Jul 25 at 9:39









      Josh

      273




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          If $f$ is continuous and $F(x)=int_0^x f(u) du$, then $F$ is differentiable and $F'=f$.



          (FTC)






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            1 Answer
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            1 Answer
            1






            active

            oldest

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            active

            oldest

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            active

            oldest

            votes








            up vote
            4
            down vote



            accepted










            If $f$ is continuous and $F(x)=int_0^x f(u) du$, then $F$ is differentiable and $F'=f$.



            (FTC)






            share|cite|improve this answer

























              up vote
              4
              down vote



              accepted










              If $f$ is continuous and $F(x)=int_0^x f(u) du$, then $F$ is differentiable and $F'=f$.



              (FTC)






              share|cite|improve this answer























                up vote
                4
                down vote



                accepted







                up vote
                4
                down vote



                accepted






                If $f$ is continuous and $F(x)=int_0^x f(u) du$, then $F$ is differentiable and $F'=f$.



                (FTC)






                share|cite|improve this answer













                If $f$ is continuous and $F(x)=int_0^x f(u) du$, then $F$ is differentiable and $F'=f$.



                (FTC)







                share|cite|improve this answer













                share|cite|improve this answer



                share|cite|improve this answer











                answered Jul 25 at 9:41









                Fred

                37.2k1237




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