If y=x(x-1)(x-2). Then \;d y/d x=

Correct Answer is : 3x2−6x+23x²-6x+23x2−6x+2

Correct Answer is : 3x2−6x+23x²-6x+23x2−6x+2

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AP ICET 2024 6th May 2024 Shift 1

Question : 187 of 200

Marks: +1, -0

y=x(x-1)(x-2)

\;\frac{d y}{d x}=

Solution:

To differentiate

y=x(x-1)(x-2)

, we use the product rule. First, expand the polynomial:

y=x (x^{2}-3x+2)=x^{3}-3x^{2}+2x .

Now, differentiate term by term:

\;\frac{d y}{d x}=3x^{2}-6x+2 .

Quick Tip

To differentiate a product of polynomials, first expand the expression, then apply the power rule to each term.

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