Question

x²y + 5x + 4, 5x²y - 8x
with method fast​

Answer 1

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First solution:-

$x ^ { 2 } y + 5 x + 4$

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}.

$2yx^{2-1}+5x^{1-1}$

$Subtract \: \: 1 \: \: from \: \: 2.$

$2yx^{1}+5x^{1-1}$

$Subtract \: \: 1 \: \: from \: \: 1.$

$2yx^{1}+5x^{0}$

$For \: \: any \: \: term \: \: t, t^{1}=t.$

$2yx+5x^{0}$

$For \: \: any \: \: term \: \: t \: \: except \: \: 0, t^{0}=1.$

$2yx+5\times 1$

$For \: \: any \: \: term \: \: t, t\times 1=t \: and \: 1t=t.$

$2yx+5$