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Question

Find the derivative of y with respect to x at x=1, where function y is expressed as y=x3+1 .

A
122
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B
32
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C
325
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D
322
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Solution

The correct option is D 322

We have, y=x3+1

let μ(x)=x3+1

y=μ,dydμ=12μ

and we know from chain rule:

dydx=dydμ.dμdx

and dμdx=ddx(x3+1)=3x2

dydx=3x22x3+1

At (x=1)

dydx=3×12213+1=322

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