Original
For {{MATH_60}}, compute:
{{MATH_61}}
{{CMD_62}}
The function {{MATH_63}} is tricky to differentiate. We cannot use the power
rule, as the exponent is not a constant; the function is not an exponential function either, since the base is not a constant. However, if we set {{MATH_64}} we can write
{{ENV_65}}
Differentiating both sides, we find
{{MATH_66}}
Now we can solve for {{MATH_67}},
{{MATH_68}}
Alternative way: We can write
{{MATH_69}}
Therefore,
{{MATH_70}}
by the Chain Rule and the Product Rule.
Now, it follows that
{{MATH_71}}
{{CMD_72}}
{{CMD_73}}