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Question

The values of x at which the slope of tangent drawn to the curve f(x)=x312x is zero are _____

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Solution

Slope of the tangent to the curve f(x) is given by f(x)
f(x)=3x212

To find the point where slope is zero is, f(x)=0
3x212=0
3x2=12
x2=4
x=±2

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