Question

Find the slope of the graph of the function at (-1, 3): h(x)=sqrt(x+10)

Answer 1

find the derivative

Answer 2

I found it to be \[(\sqrt{9-h}-3)/h\]
When I plug in the value of h, I still get 0/0

Answer 3

... you still using first principles? i take it you havent learned the derivative rules yet then

Answer 4

Yeah, we are just starting into this stuff

Answer 5

well, i spose i can run the a first principles; you most likely missed a conjugate

Answer 6

\[\frac{\sqrt{x+h}-\sqrt{x}}{h}\]
\[\frac{\sqrt{x+h}-\sqrt{x}}{h}*\frac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}}=\frac{x+h-x}{h(\sqrt{x+h}+\sqrt{x})}\]
\[\frac{h}{h(\sqrt{x+h}+\sqrt{x})}\]
\[\frac{1}{\sqrt{x+h}+\sqrt{x}};when\ h=0\]
\[\frac{1}{\sqrt{x}+\sqrt{x}}=\frac{1}{2\sqrt{x}}\]

Answer 7

just replace x with x+10 and its good

Answer 8

Thanks!

Answer 9

yep