If Y = (2x + 1)³, find dy/dx

 If Y = (2x + 1)³, find dy/dx

Solution

Y = (2x + 1)³

Let 2x + 1 = v

therefore dv/dx = 2

Y = v³ (Remember 2x + 1 has been replaced with v)

dy/dx = 3v²

Applying the chain rule formula

dy/dx = dy/dx * dv/dx

We have: 3v² * 2

3(2x + 1)² * 2

Ans: 6(2x + 1)²

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