I'm having trouble finding the answer to this problem. : Find the derivative of the function 1/((the square root of(x)) and the equation of the line that is tangent to the graph of f and parallel to the given line 3x-y+1. I also found the answer to this one but it was kind of guess and check. : find the equations of two tangent lines to the graph of f that pass through the indicated point where f(x)=x^2 and the indicated point is (1, -3). The last question i have is how you guys put square roots and other symbols in. Can't seem to find them. Thanks a lot.
Don't need an answer to the first one. I made a simple algebraic mistake which messed up a rather easy problem. Thanks for the answer to the second. Rather moronic of me not to see that Man that was stupid. That was a 1st grade level mistake. Just having a bad day thinking i guess. Can anyone tell me how to make the symbols though?
so the slope of any tangent line is given by
By the point-slope form, lines passing through have the form:
but we want lines where the slope is given by , so set , we get:
furthermore, we want lines that intersect with , so equate the two functions. we get:
let be the slope of the tangent line that intersects with at . thus
so the first tangent line is:
in a similar fashion, we can find the tangent line that intersects with at to be
Use LaTex or if you don't want to, type sqrt(x) to meanThe last question i have is how you guys put square roots and other symbols in. Can't seem to find them. Thanks a lot.