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The line y=mx3 is a tangent to the curve \(y = 1 - ...

The line y=mx3 is a tangent to the curve y=13x+2x3 at (1, 0). Find the value of the constant m.

A.

-4

B.

-1

C.

3

D.

4

Correct answer is C

y=13x+2x3

dydx=3+6x2

At (1, 0), dydx=3+6(12)=3+6=3

y=mx3dydx=m=3 (Tangent with equal gradient)