Derivative Using the Limit Definition

[MHENK]

Can someone please use the LIMIT Definition of the Derivative to find the derivative of f(a). f(a)=a^2+a.

THIS IS URGENT. I NEED THIS IS 1/2 HOUR OR less.

Thank you

[DavidHooper]

its a bit late but the answer:

2a + 1

[Guv]

After making up the following, I realized that your variable was a, not x.

F(x) = x^2 + x

F(x + dx) = (x + dx)^2 + (x + dx)

dF = F(x + dx) - F(x)

dF = (x^2 +2 *x *dx + dx^2 + x + dx) - (x^2 + x)

dF = 2 * x * dx + dx^2 + dx

dF / dx = (2 * x * dx + dx + dx^2) / dx

dF / dx = 2 * x + 1 + dx

dF / dx = Limit(2 * x + 1 + dx) as dx approaches zero

dF / dx = 2 * x + 1