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1. A rechargeable battery is plugged into a charger. The graph shows C(t), the percentage of full capacity that the battery reaches as a function of time t elapsed (in hours).

2. Let f(x) = x^3

3. Find the derivative of the function using the definition of the derivative. f(x) = 1x/2 – 1/10

4. Find the derivative of the function using the definition of the derivative.

F(x) = 7.5x^2 – x + 2.8

5. Find the derivative of the function using the definition of the derivative.

G(t) = 3/t^1/2

6. Find the derivative of the function using the definition of the derivative.

g(x) = sqrt(5 – x)

8.The graph of f is given. State the numbers at which f is not differentiable.

9. The graph of f is given. State the numbers at which f is not differentiable.

10. Use the definition of the derivative to find f’(x) and f’’(x).

f(x) = 4x^2 + 3x + 3

11. If f(x) = 2x^2 – x^3, find f’(x), f’’(x), f’’’(x), and f(4)(x).

12. If f(t) = t^1/3 and a cannot = 0, find f’(a).