given the function fx84x2 a fa 84a2 b fah 84a28ah4h2 c find
given the function, f(x)=8+4x^2,
a.) f(a)= 8+4a^2
b) f(a+h)= 8+4a^2+8ah+4h^2
c.) find (f(a+h)-f(a)) / h
I got part A and B right and I tried C and got 8ah+4h but that is incorrect.
Solution
f(x) = 8 +4x^2
f(a)= 8+4a^2
f(a+h)= 8+4a^2+8ah+4h^2
[ f(a+h) - f(a)]/h
= [ 8+4a^2+8ah+4h^2 - 8 -4a^2]/h
= (8ah +4h^2)/h
h gets cancelled from num erator and denominator
= 8a + 4h
