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8:24 PM Wed Dec 6 39% 11 Hw Test On Tue... Article Hom... Quiz_6n_C QUIZ_7NH.... Assignmen... December 1.. Untitled HW_2a_... Functions $f(x)$ (blue) and $g(x)$ (red) (Generated by the program Two polynomial functions.xls) 2. $f(x) = (x^2 - N) = (x - N)(x - N)$ at the point $x = 1$. ($N > 1$. If you are a first student in the class list then take $N = 2$ for this particular problem.) 3. $f(x) = (2x - 8)(\sqrt{x} - 1)$ at the point $x = 4$. Apply the product rule of differentiation. Solution. $f(x) = f(4) = 0$; $f'(x) = 2(x - 1) + (2x - 8)(\frac{1}{2\sqrt{x}}) = 3x - \frac{4}{\sqrt{x}} - 2$ $f'(x) = f'(4) = 2$; $y - f(x) = f'(x)(x - x)$ $\rightarrow$ $y = 2(x - 4)$ $\rightarrow$ $y = 2x - 8$ 4. $f(x) = (x + N)\sqrt{x}$ at the point $x = 4$.

          8:24 PM Wed Dec 6
39%
11 Hw
Test On Tue...
Article Hom...
Quiz_6n_C
QUIZ_7NH....
Assignmen...
December 1..
Untitled
HW_2a_...
Functions $f(x)$ (blue) and $g(x)$ (red)
(Generated by the program Two polynomial functions.xls)
2. $f(x) = (x^2 - N) = (x - N)(x - N)$ at the point $x = 1$. ($N > 1$. If you are a first student in the
class list then take $N = 2$ for this particular problem.)
3. $f(x) = (2x - 8)(\sqrt{x} - 1)$ at the point $x = 4$. Apply the product rule of differentiation.
Solution. $f(x) = f(4) = 0$; $f'(x) = 2(x - 1) + (2x - 8)(\frac{1}{2\sqrt{x}}) = 3x - \frac{4}{\sqrt{x}} - 2$
$f'(x) = f'(4) = 2$; $y - f(x) = f'(x)(x - x)$ $\rightarrow$ $y = 2(x - 4)$ $\rightarrow$ $y = 2x - 8$
4. $f(x) = (x + N)\sqrt{x}$ at the point $x = 4$.

8:24 PM Wed Dec 6
39%
11 Hw
Test On Tue...
Article Hom...
Quiz6nC
QUIZ7NH....
Assignmen...
December 1..
Untitled
HW2a...
Functions f(x) (blue) and g(x) (red)
(Generated by the program Two polynomial functions.xls)
2. f(x) = (x^2 - N) = (x - N)(x - N) at the point x = 1. (N > 1. If you are a first student in the
class list then take N = 2 for this particular problem.)
3. f(x) = (2x - 8)(√(x) - 1) at the point x = 4. Apply the product rule of differentiation.
Solution. f(x) = f(4) = 0; f'(x) = 2(x - 1) + (2x - 8)((1)/(2√(x))) = 3x - (4)/(√(x)) - 2
f'(x) = f'(4) = 2; y - f(x) = f'(x)(x - x) → y = 2(x - 4) → y = 2x - 8
4. f(x) = (x + N)√(x) at the point x = 4.

Added by Cristina A.

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