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Q.

If the slope of line through the origin which is tangent to the curve  y=x3+x+16 is m, then the value of m is ____

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answer is 13.

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Detailed Solution

y=x3+x+16           dydxx1y1=3x12+1∴   3x12+1=y1x1or   3x13+x1=x13+x1+16or   2x13=16or   x1=2    or   y1=26∴    m=13
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