What is the derivative of $- x$ $-x$ ?

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Answer 1 · 2016-05-12T08:37:38

$\frac{d f}{d x} = - 1$ $(df)/(dx)=-1$

Derivative of function $f (x)$ $f(x)$ is defined as

$(df)/(dx)=Lt_(Deltax->0)(f(x+Deltax)-f(x))/(Deltax)$

As $f(x)=-x$ , $f(x+Deltax)=-(x+Deltax)$

Hence $(df)/(dx)=Lt_(Deltax->0)(-(x+Deltax)-(-x))/(Deltax)$ or

= $Lt_(Deltax->0)(-x-Deltax+x)/(Deltax)$

= $Lt_(Deltax->0)(-Deltax)/(Deltax)=-1$

What is the derivative of -x−x-x?