Taking the given equation,y = x3+2x-4Differentiating the above function with respect to x, we have,Given that the tangents to the given curve are perpendicular to the line x+ 14y + 3 = 0Slope of this line, m2=-1/14Since the given line and the tangents to the curve are perpendicular, we have,m1 x m2 =-1thus equation of the tangent is 14 x- y =-12