Differentiate w.r.t. x
44xy+1
Evaluate
x+22yx^{2}+7
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\frac{\mathrm{d}}{\mathrm{d}x}(x+22x^{2}y+7)
Multiply x and x to get x^{2}.
x^{1-1}+2\times 22yx^{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}.
x^{0}+2\times 22yx^{2-1}
Subtract 1 from 1.
x^{0}+44yx^{2-1}
Multiply 2 times 22y.
x^{0}+44yx^{1}
Subtract 1 from 2.
x^{0}+44yx
For any term t, t^{1}=t.
1+44yx
For any term t except 0, t^{0}=1.
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