1. Use the limit definition of the derivative to find g'(x) if g(x) = 3x2. 2. The alternate definition of the derivative at a point x = a is f' (a) = lim f (x) - f(a) x - a x - a Use the alternate definition to find f' (4) if f (x) = 8x - 7. f (4 ) = 18 x - 7 ) - f ( a ) 3. Use the limit definition of the derivative to find h'(x) if h(x) = 2x2 + 8x - 5. 2 MathTutorDVD.com10. The alternate definition of the derivative at a point x = a is f(x) - f(a) f'(a) = lim x - a x - a Use the alternate definition to find f'(-5) if f (x) = -2x2 + 4x + 1. 11. Use the limit definition of the derivative to find f' (x) if f(x) = 5x2 - 14x + 12 12. The alternate definition of the derivative at a point x = a is f' (a) = lim f (x) - f(a) x - a x - a Use the alternate definition to find g'(-2) if g (x) = 6x2 - 8x + 3.4. The alternate definition of the derivative at a point x = a is f(x) - f(a) f' (a) = lim x - a x - a Use the alternate definition to find f' (1) if f (x) = x3. 5. Use the limit definition of the derivative to find g'(3) if g(x) = x2 + 9x + 7. 6. The alternate definition of the derivative at a point x = a is f' (a) = lim f(x) - f(a) x - a x - a Use the alternate definition to find h'(2) if h(x) = x3 + x2 - x. MathTutorDVD.com7. Use the limit definition of the derivative to find g'(x) if g(x) = x4. 8. The alternate definition of the derivative at a point x = a is f' (a) = lim f(x) - f(a) x - a x - a Use the alternate definition to find f' (6) if f (x) = 9x + 18. 9. Use the limit definition of the derivative to find k'(x) if k(x) = 5x2 + 3x