Find the partial derivative indicated. Assume the variables are restricted to a domain on which the function is defined. z = sin ⁡ ( 7 x 5 y − 6 x y 2 )

Question

Find the partial derivative indicated. Assume the variables are restricted to a domain on which the function is defined.  z  =  sin  ⁡  (  7      x    5    y  −  6  x      y    2    )

Ashlynn Delacruz · Accepted Answer

Solution:  z  =  sin  ⁡  (  7      x    5    y  −  6  x      y    2    )              d      z              d      x        =            d      sin      ⁡      (      7              x        5            y      −      6      x              y        2            )              d      x          =            d      sin      ⁡      (      7              x        5            y      −      6      x              y        2            )              d      (      7              x        5            y      −      6      x              y        2            )        ⋅            d      (      7              x        5            ⋅      y      −      6      x              y        2            )              d      x          =  cos  ⁡  (  7  x  65  y  −  6  x      y    2    )  ⋅  (  35      x    4    y  −  6      y    2    )

Find the partial derivative indicated. Assume the variables are restricted to a domain on which the function is defined. z=sin(7x^5y-6xy^2)

Answered question

Answer & Explanation

New Questions in Differential Calculus