SOLUTION: Which one of the following does not find the value of f ′(2) for f(x) = x2 + 3x + 1?
f prime of 2 equals the limit as h approaches 0 of the quotient of the square of the
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Question 1001202: Which one of the following does not find the value of f ′(2) for f(x) = x2 + 3x + 1?
f prime of 2 equals the limit as h approaches 0 of the quotient of the square of the quantity 2 plus h plus 3 times the quantity 2 plus h plus 1 minus the quantity 2 squared plus 3 times 2 plus 1, and h
f prime of 2 equals the limit as h approaches 0 of the quotient of the square of the quantity 2 plus h plus 3 times the quantity 2 plus h plus 1 minus 2 squared plus 3 times 2 plus 1, and h
f prime of 2 equals the limit as x approaches 2 of the quotient of x squared plus 3 times x plus 1 minus 11, and the quantity x minus 2
All of these find the value for f ′(2).
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The square of the quantity 2 plus h plus 3 times the quantity 2 plus h plus 1
is .
The quantity 2 squared plus 3 times 2 plus 1
is .
CHOICE # 1:
The limit as h approaches 0 of
the quotient of
the square of the quantity 2 plus h plus 3 times the quantity 2 plus h plus 1
minus
the quantity 2 squared plus 3 times 2 plus 1,
and h
is .
That is by definition .
CHOICE # 2 does not find the value of :
The limit as h approaches 0 of
the quotient of
the square of the quantity 2 plus h plus 3 times the quantity 2 plus h plus 1
minus 2 squared
plus 3 times 2
plus 1,
and h
is .
That is not .
CHOICE # 3:
The limit as x approaches 2 of
the quotient of
x squared plus 3 times x plus 1
minus 11,
and
the quantity x minus 2
is == .
That is by definition .
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