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

$f(x)=4x^4,x0,a=6$

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

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

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

A$.$

B$.$ c$.$ D$.$

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

$\frac{df}{dx}{|}_x|=6=$

$$

$\frac{d{f}^{-1}}{dx}{|}_x|=f(6)=$

$$

Time Remaining: $01$:$37$:$17$