derivation of a power function 3 power 0
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When the exponential expression is something other than simply x, we apply the chain rule: First we take the derivative of the entire expression, then we multiply it by the derivative of the expression in the exponent.
d
d
x
e
x
2
+
2
x
=
e
x
2
+
2
x
×
d
d
x
(
x
2
+
2
x
)
=
(
2
x
+
2
)
e
x
2
+
2
x
This technique can be used to find the rate of change of diode current with respect to diode voltage. The following equation provides an approximate relationship between the voltage across a diode (
V
D
) and the current through a diode (
I
D
):
I
D
=
I
S
×
e
V
D
0.026
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