Answer
(a) True. (b) True. (c) Not true. (d) True.
Work Step by Step
(a) True, the derivative of $ e^x $ is the same function times the derivative of the exponent $ x $, which is $1$.
(b) True, by multiplying both the denominator and the numerator by $ e^{-h}$, we get the limit.
(c) Not true. The slope of $ y=e^x $ at $ x=0$ is $ y'(0)$, which is $1$ and not e.
(d) True. The slope of $ y=e^x $ at $ x=0$ is $ y'(0)$, which is $1$.
