Math Problem Statement
(1 point) Use the Chain Rule to find ππ§/ππ‘ . Where:
π§=cos(π₯+6π¦),π₯=β2π‘4,π¦=β2π‘ βπ§/βπ₯=
-sin(x+6y) functionsequation editor
ππ₯/ππ‘=
-8t^3 functionsequation editor
βπ§/βπ¦=
-6sin(x+6y) functionsequation editor
ππ¦/ππ‘=
2/t^2 functionsequation editor ππ§/ππ‘=
sin(x+6y)(8t^3-12/t^2) functionsequation editor
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Chain Rule
Multivariable Functions
Derivatives
Formulas
dz/dt = βz/βx * dx/dt + βz/βy * dy/dt
z = cos(x + 6y)
βz/βx = -sin(x + 6y)
βz/βy = -6sin(x + 6y)
Theorems
Chain Rule
Suitable Grade Level
Undergraduate Calculus
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