CRL 4.11 MrG Diff Inverse Functions

3862 days ago by calcpage123

f(x)=e^x diff(f(x),x) 
        
\newcommand{\Bold}[1]{\mathbf{#1}}e^{x}
\newcommand{\Bold}[1]{\mathbf{#1}}e^{x}
f(x)=sin(x) diff(f(x),x) 
        
\newcommand{\Bold}[1]{\mathbf{#1}}\cos\left(x\right)
\newcommand{\Bold}[1]{\mathbf{#1}}\cos\left(x\right)
f(x)=cos(x) diff(f(x),x) 
        
\newcommand{\Bold}[1]{\mathbf{#1}}-\sin\left(x\right)
\newcommand{\Bold}[1]{\mathbf{#1}}-\sin\left(x\right)
f(x)=tan(x) diff(f(x),x) 
        
\newcommand{\Bold}[1]{\mathbf{#1}}\tan\left(x\right)^{2} + 1
\newcommand{\Bold}[1]{\mathbf{#1}}\tan\left(x\right)^{2} + 1
f(x)=log(x) diff(f(x),x) 
        
\newcommand{\Bold}[1]{\mathbf{#1}}\frac{1}{x}
\newcommand{\Bold}[1]{\mathbf{#1}}\frac{1}{x}
(log(9)/log(2)).n() 
        
\newcommand{\Bold}[1]{\mathbf{#1}}3.16992500144231
\newcommand{\Bold}[1]{\mathbf{#1}}3.16992500144231
solve(2^x==9,x) 
        
\newcommand{\Bold}[1]{\mathbf{#1}}\left[x = \frac{\log\left(9\right)}{\log\left(2\right)}\right]
\newcommand{\Bold}[1]{\mathbf{#1}}\left[x = \frac{\log\left(9\right)}{\log\left(2\right)}\right]
f(x)=asin(x) diff(f(x),x) 
        
\newcommand{\Bold}[1]{\mathbf{#1}}\frac{1}{\sqrt{-x^{2} + 1}}
\newcommand{\Bold}[1]{\mathbf{#1}}\frac{1}{\sqrt{-x^{2} + 1}}
f(x)=acos(x) diff(f(x),x) 
        
\newcommand{\Bold}[1]{\mathbf{#1}}-\frac{1}{\sqrt{-x^{2} + 1}}
\newcommand{\Bold}[1]{\mathbf{#1}}-\frac{1}{\sqrt{-x^{2} + 1}}
f(x)=atan(x) diff(f(x),x) 
        
\newcommand{\Bold}[1]{\mathbf{#1}}\frac{1}{x^{2} + 1}
\newcommand{\Bold}[1]{\mathbf{#1}}\frac{1}{x^{2} + 1}