Piecewise Function Differentiability

Question

Consider the piecewise function modeling nitrogen oxide levels: for $$0 \le t < 2,\; N(t)= 5*t+10$$ and for $$2 \le t \le 4,\; N(t)= -3*t+22$$. Determine whether the function is differentiable at t = 2.

Accepted Answer

The function is not differentiable at t = 2.

Answer

Differentiability cannot be determined from the provided information.

Answer

The function is differentiable at t = 2 with a derivative of 5.

Answer

The function is differentiable at t = 2 with a derivative of -3.

Piecewise Function Differentiability

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