1. The equation for the line tangent to y=5-3x^2 at (-3,-22) is y= ??

2. Using the difination, calculate the derivative of the function. Then find the values of the derivatives as specified. f(x) = 6 - X^2; f '(-7), f '(0), f '(7) f '(x) = ????

3. Find the average rate of change of the function over the given intervals. F(x) = 7x^3 +7; A. [3,5] B. [4,-4] <<<< two part question

4. Find the average rate of change of the function over the given intervals. F(x) = 11x^3 +11; A. [3,5] B. [4,-4] <<<< two part question

5. Find the average rate of change for the function. f(x) = 1/x-2 BETWEEN x = -7 and x = 0

6. find f(a+h), f(a+h) -f(a) / h, and the instantaneous rate of change of F when a = 3 f(x) =1- 6x^2 f(a+h)=???

7. The revenue (in thousands of dollars) from producing X units of an item is modeled by R(x) = 14x - 0.01x^2. Find the marginal revene at x=400 . The marginal revenue is ____ dollars per unit

1. The equation for the line tangent to y=5-3x^2 at (-3,-22) is y= ?? 18x + 32

2. Using the difination, calculate the derivative of the function. Then find the values of the derivatives as specified. f(x) = 6 - X^2; f '(-7), f '(0), f '(7) f '(x) = -2x f'(-7) = 14 f'(0) = 0 f'(7) = -14

3. Find the average rate of change of the function over the given intervals. F(x) = 7x^3 +7; A. [3,5] 343

B. [4,-4] <<<< two part question usually the -4 would be first and the 4 second 112

4. Find the average rate of change of the function over the given intervals. F(x) = 11x^3 +11; A. [3,5] 539

B. [4,-4] <<<< two part question usually the -4 would be first and the 4 second 176

5. Find the average rate of change for the function. f(x) = 1/x-2 BETWEEN x = -7 and x = 0 I'll assume it's 1/(x-2) with the whole x-2 on the bottom. -1/18

6. find f(a+h), f(a+h) -f(a) / h, and the instantaneous rate of change of F when a = 3 f(x) = 1- 6x^2 f(a+h)= 1 - 6a^2-12ah-6h^2 f(a+h) -f(a) / h = -12a-6h Then taking the limit as h->0 and plugging in 3 rate when a = 3: -36

7. The revenue (in thousands of dollars) from producing X units of an item is modeled by R(x) = 14x - 0.01x^2. Find the marginal revene at x=400 . The marginal revenue is 6 dollars per unit

Let me know if you have any questions, and if you're all set, thanks for pressing Accept! Scott

Oh, 1am is too late for me, since I'm on the road this week, and won't be up that -- if you need it tonight, you can just post it for any expert. If the deadline isn't tonight, then we can do it another day :)

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