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Evaluate
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Differentiate w.r.t. y
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3y+5+4y^{2}-2
Combine y and 2y to get 3y.
3y+3+4y^{2}
Subtract 2 from 5 to get 3.
\frac{\mathrm{d}}{\mathrm{d}y}(3y+5+4y^{2}-2)
Combine y and 2y to get 3y.
\frac{\mathrm{d}}{\mathrm{d}y}(3y+3+4y^{2})
Subtract 2 from 5 to get 3.
3y^{1-1}+2\times 4y^{2-1}
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}.
3y^{0}+2\times 4y^{2-1}
Subtract 1 from 1.
3y^{0}+8y^{2-1}
Multiply 2 times 4.
3y^{0}+8y^{1}
Subtract 1 from 2.
3y^{0}+8y
For any term t, t^{1}=t.
3\times 1+8y
For any term t except 0, t^{0}=1.
3+8y
For any term t, t\times 1=t and 1t=t.