Question

How do I find the derivative of f(x)=-10x with the limit process? It's a constant slope...so I don't understand how I would find a secant and tangent line....

Answer 1

found it

Answer 2

\[\lim_{h \rightarrow 0}\frac{ F(x+h) - F(x)}{ h }\]

Answer 3

\[\lim_{h\to 0}\frac{f(x+h)-f(x)}{(x+h)-x}\]
\[\lim_{h\to 0}\frac{-10(x+h)-(-10x)}{h}\]
\[\lim_{h\to 0}\frac{\cancel{-10x}-10h+\cancel{10x}}{h}\]
\[\lim_{h\to 0}\frac{-10\cancel h}{\cancel h}\]
\[\lim_{h\to 0}~-10\]

Answer 4

With a quadratic function, I was able to do this: in order to find the secant line.Now i cant to that because it's linear

Answer 5

lol, the slope of the line at any given point is ... well, the slope of the line between any 2 point