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$If the slope of line through the origin is tangent to the curve y = x^{3} + x + 16 is m, then the value of m is$

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Correct option is C

The given curve is y=x3+x+16The slope of the line passing through the origin and which touches the above curve at (x1,y1) is y1x1dydx=3x2+1 ⇒m=3x12+1=y1x1 ⇒3x13+x1=x13+x1+16 ⇒x1=2 Hence, m=13

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

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$If the slope of line through the origin is tangent to the curve y = x^{3} + x + 16 is m, then the value of m is$