Question

add x^2y+5x+4, 5x^2y-8x

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

x²y+5x+4, 5x²y-8x

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}2yx

2−1

+5x

1−1

Subtract \: \: 1 \: \: from \: \: 2.Subtract1from2.

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

1

+5x

1−1

Subtract \: \: 1 \: \: from \: \: 1.Subtract1from1.

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

1

+5x

0

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

1

=t.

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

0

For \: \: any \: \: term \: \: t \: \: except \: \: 0, t^{0}=1.Foranytermtexcept0,t

0

=1.

2yx+5\times 12yx+5×1

For \: \: any \: \: term \: \: t, t\times 1=t \: and \: 1t=t.Foranytermt,t×1=tand1t=t.

2yx+52yx+5