Find f'(a). 6t+14 f(t) = t+6 f'(a) = lim To find f'(a), we will use the formula t-a f(t) - f(a) t-a 6t+14 Since f(t) = we have t+6 6t4-14 6a+14 f'(a) = lim ta Simplifying everything we get f'(a) = lim t+6 a+6 t a