Find the values of a and b such that f(x) is differentiable everywhere and compute f′(x).

Question

Let

e^(-1/(x^2)) + x + 3, if x > 0,

f(x)

sin(ax) + b, if x ≤ 0.

(a) Find the values of a and b such that f(x) is differentiable everywhere and compute f′(x).

(b) Is the function f ′ (x) in part (a) defined.

Answer 1

Use the slider on point P to see different instances of the tangent line to the given piecewise function.

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