whats Differential of e?

Question

whats Differential of e?

Answer 1

Yea, I'm not sure what you are asking?

but
d(e) = 0
d(e^x) = e^x
d(e^-x) = -e^-x

Answer 2

I'm not sure I understand the question. e is a constant, and you took the derivative of a constant, you get zero.

But the exponential function, e^x is it's own derivative:

d/dx[e^x]=e^x.

It's fairly easy to prove using the definitions of limits. THere's also a proof using power series, but that comes a in a later course.

Answer 3

If you're talking about the DERIVATIVE of e^x (with respect to x) then it (the derivative) is itself (the very function that you're taking the derivative of): e^x.

If you're talking about some constant e (typically e = 2.7183 in math) then the derivative of a constant with respect to an independent variable is zero.

Answer 4

e is a constant: 2.718281828....

Like every other constant, it's derivative is 0. However the derivative of e^x is e^x. Is that what you are asking?

Answer 5

e

Answer 6

e is its own differential

f'(e) = e

the rule for e is....

e^ax, where a is a constant, and x is the variable

f'(x) = a(e^ax)
f''(x) = a[f'(x)] = a[a(e^ax)] = (a^2)(e^ax)

Answer 7

e could be anything. Please make your question more concrete.