How do you use the limit definition of the derivative to find the derivative of $f (x) = - 4 x + 2$ $f(x)=-4x+2$ ?

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Answer 1 · 2016-08-22T16:54:41

$= - 4$ $=-4$ .

The Derivative of a function $f : f (x) = - 4 x + 2,$ $f : f(x)=-4x+2,$ at $x$ $x$ is denoted

by $f'(x),$ and, is defined by,

$f'(x)=lim_(trarrx)(f(t)-f(x))/(t-x)$ .

$:. f'(x)=lim_(trarrx) {(-4t+2)-(-4x+2)}/(t-x)$

$=lim_(trarrx) -4cancel((t-x))/cancel((t-x)$

$=lim_(trarrx) -4$

$=-4$ .

How do you use the limit definition of the derivative to find the derivative of f(x)=-4x+2f(x)=−4x+2f(x)=-4x+2?