Answer:
We select option D: 14 x + 7 h + a
Step-by-step explanation:
To find the difference quotient for h we do:
[f(x+h) - f(x) ] / h
that is:
[7 (x+h)^2 + a (x+h) - 7x^2 - a x] / h
[ 7 (x^2+ 2xh + h^2) - 7x^2 - a x] / h
[ 7 x^2 + 14 x h + 7 h^2 + ax + ah - 7 x^2 - a x] / h
cancel out terms:
[ 14 x h + 7 h^2 + ah] / h
14 x + 7 h + a
c
Answer: 72°
I second that,
