Question

find f'(x), f'''(x), and f^3(x) of
f(x) = 11'e^x

Why the answer for all three the same?

f'(x) = 11e^x
f''(x) = 11e^x
f^3(x) = 11e^x

Answer 1

because diff of e^x is itself

Answer 2

graphs will explain

Answer 3

@Meinme how do you tell it from the graphs?

Answer 4

draw a graph of the function and youll notice that none of the operations will affect the original answer

Answer 5

Its kind of difficult to perform differentiation using graphs is it not? Or if there is a easy way, plz do tell.

Answer 6

its easy if you know graphical transformations