Let f (x) = g (x) + X2, the tangent equation of the curve y = g (x) at point (1, G (1)) be y = 2x + 1, then the slope of the tangent of the curve y = f (x) at point (1, f (1)) is () A. 4B. -14C. 2D. -12

Let f (x) = g (x) + X2, the tangent equation of the curve y = g (x) at point (1, G (1)) be y = 2x + 1, then the slope of the tangent of the curve y = f (x) at point (1, f (1)) is () A. 4B. -14C. 2D. -12

The tangent equation of F '(x) = g' (x) + 2x. ∵ y = g (x) at point (1, G (1)) is y = 2x + 1, ∵ G '(1) = 2, ∵ f' (1) = g '(1) + 2 × 1 = 2 + 2 = 4, and the tangent slope of ∵ y = f (x) at point (1, f (1)) is 4