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Evaluate
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Differentiate w.r.t. y
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\frac{y^{11}}{y^{5}}
Use the rules of exponents to simplify the expression.
y^{11-5}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
y^{6}
Subtract 5 from 11.
\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{1}y^{11-5})
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{\mathrm{d}}{\mathrm{d}y}(y^{6})
Do the arithmetic.
6y^{6-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
6y^{5}
Do the arithmetic.