Question

Slope of tangent
f(x) at x=a is fprime(a).
Can you proof tangent line equation ?
y=f(a)+fprime(a)(x-a)

Answer 1

hope you understan my handwriting...

Answer 2

f(a+h) - f(a)
slope of the tangent m=(lim as h->0) ----------
h

Answer 3

therefore y=f(a)+f '(a)(x-a)

Answer 4

hi tech is this the correct prob?
y=f(a)+f '(a)(x-a)