Given the function f(x)=3+7x^2, calculate the following value: f(a+h)−f(a)/h

Answer 1

f(a+h) = 3 + 7(a+h)^2 = 3 + 7(a^2 + 2ah + h^2) = 3 + 7a^2 + 14ah + 7h^2

f(a) = 3 + 7a^2

the difference is 14ah + 7h^2

dividing by h: 14a + 7h