How to differentiate for critical points with variable in denominatorsorry for posting a particular problem, this is maybe more of an algebra problem than a calculus problem, but it does involve differentiating so I thought I would state the problem as one. I am currently running through the openOnlineMIT multivariable calculus course. I have ran into a problem which I can't seem to come to the solution. Specifically I am trying to find d d t 4 1 + t 2 + ( 1.5 − t 2 ) 2 = 0 When I set this to zero I get 1 t ( 1 − t 2 ) = 0. What I can't seem to understand how to solve the algebra. The answers given is 4 t ( t 2 − 1 ) = 0. which is a bit different but is solvable.

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How to differentiate for critical points with variable in denominatorsorry for posting a particular problem, this is maybe more of an algebra problem than a calculus problem, but it does involve differentiating so I thought I would state the problem as one. I am currently running through the openOnlineMIT multivariable calculus course. I have ran into a problem which I can&#039;t seem to come to the solution. Specifically I am trying to find             d                      d            t                  4              1        +                  t          2                +        (        1.5        −                  t          2                          )          2                      =  0 When I set this to zero I get             1              t        (        1        −                  t          2                )              =  0. What I can&#039;t seem to understand how to solve the algebra. The answers given is   4  t  (      t    2    −  1  )  =  0. which is a bit different but is solvable.

Adyson Gamble · Accepted Answer

We have      d          d      t            (                  4                  1          +                      t            2                    +          (          1.5          −                      t            2                                )            2                                )    =  −            16              t        3            −      16      t              (              t        4            −      2              t        2            +      3.25              )        2            This is zero only when  16      t    3    −  16  t  =  0  16  t  (      t    2    −  1  )  =  0Which is basically the answer you were given.Did you make a mistake in taking the derivative?

How to differentiate for critical points with variable in denominator sorry for posting a particula

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