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Partial Derivatives and Chain Rule
I have a line $L\subset\mathbb{C}^n$ which is parametrized by $x_1=a_1t, x_2=a_2t,\dots, x_n=a_nt$, a function $f(x_1,\dots,x_n)$, and I want to look at the restriction of $f$ onto $L$. This is just ...
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For what values of $b$ does this function lack extrema?
I need to find the range of values of the parameter $b$ for which the function below has no extrema.
$$ \frac{b}{3}\,8^x + (2) 4^x + (b+3) 2^x + b \ln(2)$$
In the beginning I thought it'd be ...