Question

what is the derivative of e to the x?

Answer 1

\[e ^{x}\]

Answer 2

howw?

Answer 3

its a rule thats just how it is? it stays the same multiplied by the derivative of the exponent which is just 1 anyway so its the same if it were \[e ^{2x}\] it would be \[2e ^{2x}\]

Answer 4

o k thx

Answer 5

i am observing this hard looking math

Answer 6

because a constant change in the independent variable x gives the same proportional change in the dependent variable y, This means that the value of the slope at any point of the graph of e^x is equal to the function itself due to its proportionality.