Question

Let $f(x) = \sqrt{50 - x}$ \\ The EXACT value (no decimals or rounding) of slope of the tangent line to the graph of $f(x)$ at the point \\ $(1, 7)$ is _________. \\ The equation of the tangent line to the graph of $f(x)$ at $(1, 7)$ is $y = mx + b$ for \\ $m = $ ________ \\ and \\ $b = $ _________. \\ KEEP ALL VALUES EXACT!!! NO DECIMALS OR ROUNDING even though the answer is displayed as a decimal! \\ Hint: the slope is given by the derivative at $x = 1$, i.e. \\ $\left(\lim_{h \to 0} \frac{f(1 + h) - f(1)}{h}\right)$

          Let $f(x) = \sqrt{50 - x}$ \\
The EXACT value (no decimals or rounding) of slope of the tangent line to the graph of $f(x)$ at the point \\
$(1, 7)$ is _________. \\
The equation of the tangent line to the graph of $f(x)$ at $(1, 7)$ is $y = mx + b$ for \\
$m = $ ________ \\
and \\
$b = $ _________. \\
KEEP ALL VALUES EXACT!!! NO DECIMALS OR ROUNDING even though the answer is displayed as a decimal! \\
Hint: the slope is given by the derivative at $x = 1$, i.e. \\
$\left(\lim_{h \to 0} \frac{f(1 + h) - f(1)}{h}\right)$
        
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Let f(x) = √(50 - x) 

The EXACT value (no decimals or rounding) of slope of the tangent line to the graph of f(x) at the point 

(1, 7) is . 

The equation of the tangent line to the graph of f(x) at (1, 7) is y = mx + b for 

m =  

and 

b = . 

KEEP ALL VALUES EXACT!!! NO DECIMALS OR ROUNDING even though the answer is displayed as a decimal! 

Hint: the slope is given by the derivative at x = 1, i.e. 

(limh → 0(f(1 + h) - f(1))/(h))

Added by Andrew R.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Let f(x)=sqrt(50-x) The EXACT value (no decimals or rounding) of slope of the tangent line to the graph of f(x) at the point (1,7) is The equation of the tangent line to the graph of f(x) at (1,7) is y=mx+b for m= and b= KEEP ALL VALUES EXACT!!! NO DECIMALS OR ROUNDING even though the answer is displayed as a decimal! Hint: the slope is given by the derivative at x=1, i.e. (lim_(h->0)(f(1+h)-f(1))/(h)) Let f()= V50 -x The EXACT value (no decimals or rounding) of slope of the tangent line to the graph of f() at the point (1, 7) is The equation of the tangent line to the graph of f() at (1, 7) is y = mx + b for m and b KEEP ALL VALUES EXACT!!! NO DECIMALS OR ROUNDING even though the answer is displayed as a decimal! Hint: the slope is given by the derivative at = 1, i.e. f(1+h)-f(1) lim h
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Transcript

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00:01 F of x is equals to 3x square minus 7x plus 11.
00:08 For slope f dash of x is equals to f is equals to d by dx of f of x is equals to d by dx of 3x square minus 7x plus 11.
00:23 This implies m is equals to x minus 7.
00:26 Therefore, m by 2 and 1 comma 7 is equals to 6 multiplied by 7 that is equals to minus 1.
00:35 Therefore, the slope of the tangent line of f of x is the point 1 comma 7 is m is equals to minus 1.
00:43 The equation of the tangent line y minus y1 is equals to m multiplied by x minus x1...
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