(Solved): Calculus II Problem Let f(x)=cosx,x0. Determine each of the following: a. sin(f1 ...

Calculus II Problem

Let $$f(x)=\cos x,???x?0$$. Determine each of the following: a. $$\sin \left(f^{?1}(1)\right)=$$ b. $$\cos \left(f^{?1}\left(?\frac{e}{3}\right)\right)=$$ c. $$f^{?1}(\sin 0)=$$ d. $$f^{?1}\left(\sin \left(\frac{?}{6}\right)\right)=$$ e. $$D_x{\cos }^{?1}xDx{f}^{?1}(x)$$ for all $$?1<x<1$$ Note: The answer must be one of the following $$?,{?}_1=$$ or imp Cimpossible to compare) f. The slope of the tangent line to the graph of $$y=f^{?1}(x)$$ at $$x=?1$$ is 9. The slope of the tangent line to the graph of $$y=f^{?1}(x)$$ at $$x=0$$ is h. $$Dx{f}^{?1}(x)?\frac{d}{dx}\left(ex?{\cos }^{?1}(x)\right)=1$$