SOLUTION: I am struggling with the difference of quotient problems. This one in particular f(x+h)-f(x) and this all over h
f(x)=-9x+5
Can someone please help me with this I have gone o
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-> SOLUTION: I am struggling with the difference of quotient problems. This one in particular f(x+h)-f(x) and this all over h
f(x)=-9x+5
Can someone please help me with this I have gone o
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Question 1015180: I am struggling with the difference of quotient problems. This one in particular f(x+h)-f(x) and this all over h
f(x)=-9x+5
Can someone please help me with this I have gone over the book and with it being the weekend I am not sure I can get an answer from my professor; its an online college algebra class. Found 2 solutions by rothauserc, Alan3354:Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! The limit definition of the first derivative of a function is
f'(x) = (f(x+h) - f(x)) / h as h ---> 0
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your example function is f(x) = -9x +5
we substitute x+h for x, then
f'(x) = (-9(x+h)+5 - (-9x+5)) / h =
(-9x -9h +5 +9x -5) / h =
-9h / h = -9
:
therefore f'(x) = -9
You can put this solution on YOUR website! I am struggling with the difference of quotient problems. This one in particular f(x+h)-f(x) and this all over h
f(x)=-9x+5
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f(x+h) = -9*(x+h) + 5 = -9x-9h + 5
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f(x+h)-f(x) = -9x-9h +5 - (-9x+5) = -9h
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[f(x+h)-f(x)]/h = -9h/h = -9
