Given the function $f$ and point a below, complete parts $($a$)-($c$).$

$f(x)=2x^4,x0,a=2$

a$.$ Find $f^{-1}(x).$

$f^{-1}(x)=$

$$

b$.$ Graph $f$ and $f^{-1}$ together. Choose the correct graph below.

A$.$ B$.$

c$.$

$$c$.$ Evaluate $\frac{df}{dx}$ at $x=$a and $\frac{d{f}^{-1}}{dx}$ at $x=f(a)$ to show that $\frac{d{f}^{-1}}{dx}{|}_x|||)=a$

$\frac{df}{dx}{|}_x||=2=$

$\frac{d{f}^{-1}}{dx}{|}_x||=f(2)=$

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