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Evaluate
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Differentiate w.r.t. y
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y^{6}y^{-6}y^{18}
Use the rules of exponents to simplify the expression.
y^{6-6+18}
Use the Multiplication Rule for Exponents.
y^{18}
Add the exponents 6 and -6.
\frac{\mathrm{d}}{\mathrm{d}y}(y^{18})
Multiply y^{6} and y^{-6} to get 1.
18y^{18-1}
The derivative of ax^{n} is nax^{n-1}.
18y^{17}
Subtract 1 from 18.