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Differentiate w.r.t. y
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\frac{\mathrm{d}}{\mathrm{d}y}(3y^{7})
To multiply powers of the same base, add their exponents. Add 2 and 5 to get 7.
7\times 3y^{7-1}
The derivative of ax^{n} is nax^{n-1}.
21y^{7-1}
Multiply 7 times 3.
21y^{6}
Subtract 1 from 7.
3y^{7}
To multiply powers of the same base, add their exponents. Add 2 and 5 to get 7.