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anonymous
 5 years ago
Let f(x)=7x^24x+6. Then the quotient
(f(5+h)f(5))/h can be simplified to ah+b for a=? and b=?
anonymous
 5 years ago
Let f(x)=7x^24x+6. Then the quotient (f(5+h)f(5))/h can be simplified to ah+b for a=? and b=?

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0are we looking for the equation of the tangent line at f(5)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm not sure, those are the only instructions I was given and I was never shown any sample problems, but I think that would make sense

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0have you learned to do derivatives yet? or is that what you getting up to?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0good, the slope of the line is the derivative of the function at f'(5).

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0as far as I know, "a" would equal f'(5)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I dont think he is working on a derivative otherwise he would be taking the limit as h approaches 0

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0b might = f(5)  f'(5)(h)... nadeems got a valid point :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i understand how to find the derivative, i'm just confused what the ah+b is representing in all of this

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0f(5 + h)  f(5) = 7(5 + h)^2  4(5 + h) + 6  7(25) + 4(5)  6 = 7(25 + 10h + h^2)  20  4h  155 = 175 + 70h +7h^2 175 4h 7h^2 + 66h [f(5 + h)  f(5)] = (7h^2 + 66h)/h = 7h +66

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0might be a dummy form of the line equation... maybe h needs to be kept in as the variable?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[f(x)=7x^24x+6\] \[f(5+h)=7(5+h)^24(5+h)+6\] \[f(5)=7(5^2)4(5)+6\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now plug in these values in to the function: \[\frac{f(5+h)f(5)}{h}\rightarrow \frac{7(h^2+10h+25)204h+6159}{h}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now simplify: \[\frac{7h^2+66h}{h}\rightarrow \frac{7h^2}{h}+\frac{66h}{h}\rightarrow 7h+66\]
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