Well you need to find where on that nasty function the slope is 6. Then at that (x,y) you write the y = 6 x + b that goes through that point.
how do I do this?
y = x^2 + 4 ln x
dy/dx = slope = 2 x +4/x
when is that slope 6?
6 = 2 x + 4/x
I get at x = 1 and at x = 2
well 1 is easy because ln 1 = 0. It just said "a" tangent line, not all tangent lines.
then y = 1
so I am going to use (1,1)
I understand what you are saying but how do you do the algebra foe 6=2x+4/x I seem to have forgotten my algebra.
actually it's not so bad
the derivative of your function is
2x + 4/x
setting this equal to 6 gave me a quadratic which factored nicely and had roots of
x = 1 or x=2
if x=1 then y = 1+4ln1
so one case is m=6, point (1,1)
x=2, then y = 4 + 4ln2
so m=6, point (2,4+4ln2)
All set now?
No i need help understanding the algebra behind solving 2x+4/x=6
multiply both sides by x
6 x = 2 x^2 + 4
2 x^2 - 6 x + 4 = 0
1 x^2 - 3 x + 2 = 0
(x-1)(x-2) = 0
x = 1
x = 2 are solutions.
I used 1 so the point I could take was (1,1)
Answer this Question
HELP WITH ALGEBRA!! - 6. What happens to the graph of the line y = 3x -2 when ...
math,correction - The question asks: Find the slope of any ilne parallel to the ...
Algebra - 'L' has y-intercept (0,-3) and is parallel to the line with equation y...
Algebra 1 - 1. Which line is the flattest (or is less steep)? Why? y = 5x -6 y...
MATH! - What type of lines have a slope of zero? Write the equation of a line ...
Algebra - I'm suppose to write an equation with the following information: Line ...
Math - 1) What is the slope of a line that is parallel to y = 2? 2) What is the...
algebra - identify the equation of the line through (-1,-4) and parallel to y=-...
Pre-Algebra - Please let me know if I figured these out correctly. Directions: ...
ALgebra 1 - 4. Write the equation of a line whose slope is 6 and whose y ...