Consider a function of the form f(x) = 7x^2 + ax, where a is a real number. What is the difference quotient of f(x) for all nonz
ero values of h?
A. 7h + a
B. 14x + 7h
C. 7x + 7h + a
D. 14x + 7h + a
2 answers:
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
Answer:
c
Step-by-step explanation:
You might be interested in
Answer:
224
Step-by-step explanation:
Hope this helps!!
Answer:
0.0625 is the answer.
Hope it helps you!!!
Answer:
i think so
Step-by-step explanation:
my number 5467832342
Step-by-step explanation:
The thousandth place is 4, which is less than 5 ⇒ Discard
339.4749 ≈ 339.47
Answer: 339.47