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Applying the differentiation rule, it can be obtained that:
,
and
.
The exponential function exists a mathematical function designated by f(x)=\exp or e^{x}. Unless otherwise determined, the term generally directs to the positive-valued function of a real variable, although it can be extended to complex numerals or generalized to other mathematical objects like matrices or Lie algebras.
In mathematics, the derivative of a function of a real variable estimates the sensitivity to change of the function value affecting a change in its statement. Derivatives exist as a fundamental tool of calculus.
.
Given that .
So, differentiating with respect to
, we get:
.
So, using the above formula , we get:
.
Now, substituting in
and
, we obtain:
and
.
Therefore, applying the differentiation rule, we get:
,
and
.
To know about the differentiation rule, refer:
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