True and False.(1) ______If y=f(x) is differentiable at x=a

1. True and False.(1) ______If y=f(x) is differentiable at x=a then f is continuous at x=a.
(2) ______if F(x)=f(x)*g(x) is differentiable at x, then DF(x)=f(x)Dg(x) +g(x)Df(x), implying both f and g are differentiable at x.

(3) ______ is continuous for all x but not differentiable at x=0.

(4) ______ f(x) may or may not equal to f(c).

(5) ______A function f is continuous at x = a if and only if f(x) = f(a).

(6) ______ The function has a horizontal tangent line at x=5.

(7) ______If f is not continuous at x=a then f(x) is not differentiable at x=a.

(8) ______If f'(x)=constant for all x, then f must be a linear function of x.

(9) ______If f'(a)=0, then the tangent of the function f at x=a is a horizontal line.

(10)______ D(3×2 +4)2 =12x.

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