Evaluate
12cy
Differentiate w.r.t. c
12y
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2cy-6yc+2y\times 8c
Cancel out y in both numerator and denominator.
-4cy+2y\times 8c
Combine 2cy and -6yc to get -4cy.
-4cy+16yc
Multiply 2 and 8 to get 16.
12cy
Combine -4cy and 16yc to get 12cy.
Examples
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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