I have a problem with a long line in an align-environment. The code looks as follows:
Code: Select all
\begin{align}
h'(x)&=\lim_{\Delta x\to 0}\frac{h(x+\Delta x)-h(x)}{\Delta x}\Leftrightarrow\\
h'(x)&=\lim_{\Delta x\to 0}\frac{f(x+\Delta x)\cdot g(x+\Delta x)-f(x)\cdot g(x)}{\Delta x}\Leftrightarrow\\
h'(x)&=\lim_{\Delta x\to 0}\frac{f(x+\Delta x)\cdot g(x+\Delta x)-f(x)\cdot g(x+\Delta x)+f(x)\cdot g(x+\Delta x)-f(x)\cdot g(x)}{\Delta x}\Leftrightarrow\\
h'(x)&=\lim_{\Delta x\to 0}\frac{g(x+\Delta x)(f(x+\Delta x)-f(x))+f(x)(g(x+\Delta x)-g(x))}{\Delta x}\Leftrightarrow\\
h'(x)&=\lim_{\Delta x\to 0}\left(g(x+\Delta x)\frac{f(x+\Delta x)-f(x)}{\Delta x}+f(x)\frac{g(x+\Delta x)-g(x)}{\Delta x}\right)\Leftrightarrow\\
h'(x)&=(g(x)\cdot f'(x)+f(x)\cdot g'(x)
\end{align}

thanks
Patrick