Description
Find f(a), f(a + h),and the difference quotient f(a + h) − f(a)/h
h ≠ 0.
f(x) = x2 + 6
f(a) =
f(a + h) =
f(a + h) − f(a)/h=
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Explanation & Answer
f(a)=a^2+6
f(a+h)=(a+h)^2+6=a^2+2ah+h2+6
f(a+h)-f(a)/h= [(a^2+6+2ah+h^2)-(a^2+6)]/h
=(2ah+h^2)/h
=2a+h
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