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Find and Simplify the Difference Quotient f(a+h)f(a)h,h0\frac { f ( a + h ) - f ( a ) } { h } , h \neq 0

Question 32

Multiple Choice

Find and simplify the difference quotient f(a+h) f(a) h,h0\frac { f ( a + h ) - f ( a ) } { h } , h \neq 0 for the given function.
- f(x) =9x2f ( x ) = \frac { 9 } { x ^ { 2 } }


A) 9(2a+h) a2(a2+h) \frac { 9 ( 2 a + h ) } { a ^ { 2 } \left( a ^ { 2 } + h \right) }
B) 9(2a+h) a2(a+h) 2\frac { 9 ( 2 a + h ) } { a ^ { 2 } ( a + h ) ^ { 2 } }
C) 9(2a+h) a2(a2+h) \frac { - 9 ( 2 a + h ) } { a ^ { 2 } \left( a ^ { 2 } + h \right) }
D) 9(2a+h) a2(a+h) 2\frac { - 9 ( 2 a + h ) } { a ^ { 2 } ( a + h ) ^ { 2 } }

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