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Section 3-1 : The Definition of the Derivative

Use the definition of the derivative to find the derivative of the following functions.

1. $$f\left( x \right) = 6$$ Solution
2. $$V\left( t \right) = 3 - 14t$$ Solution
3. $$g\left( x \right) = {x^2}$$ Solution
4. $$Q\left( t \right) = 10 + 5t - {t^2}$$ Solution
5. $$W\left( z \right) = 4{z^2} - 9z$$ Solution
6. $$f\left( x \right) = 2{x^3} - 1$$ Solution
7. $$g\left( x \right) = {x^3} - 2{x^2} + x - 1$$ Solution
8. $$\displaystyle R\left( z \right) = \frac{5}{z}$$ Solution
9. $$\displaystyle V\left( t \right) = \frac{{t + 1}}{{t + 4}}$$ Solution
10. $$Z\left( t \right) = \sqrt {3t - 4}$$ Solution
11. $$f\left( x \right) = \sqrt {1 - 9x}$$ Solution