Posted by Kimberly on Friday, March 1, 2013 at 8:13pm.
already answered by bobpursley
he was wrong
Kimberly, as I pointed out to you in another post, it is very important to use brackets in this format to establish the correct order of operation, since we cannot "build" fractions here.
bobpursley interpreted your equation as
f(x) = 10/(3x^2 + 6 x + 6)
and his answer is correct according to that equation
the way you typed it ....
f'(x) = (-20/3)x + 6
f'(-1) = 20/3 + 6 =38/3
so the slope is 38/3
equation:
y + 10/3 = (38/3)(x+1)
times 3
3y + 10 = 38(x+1)
3y = 38x + 38 - 10
3y = 38x + 28
y = (38/3)x + 28/3
or
38x - 3y = -28
Related Questions
cal - find the equation of a quadratic function whose graph is tangent at x=1 to...
Calculus - 55. Find an equation of the tangent line to the graph of f(x) =x^3 - ...
Math - Find the slope m of the tangent line to the graph of the function at the ...
calculus - find the equation of a quadratic function whose graph is tangent at x...
Calculus - Find the slope m of the tangent line to the graph of the function at ...
Calculus PLEASE HELP - Find the slope m of the tangent line to the graph of the ...
College Calculus - Let f(x) = 3x^2 - 2x + 1 a) write an equation of the line ...
Calc. - Find the area of the region bounded by the parabola y=x^2, the tangent ...
math - Find the slope m and an equation of the tangent line to the graph of the ...
Applied Calculus...... - Find the slope m of the tangent line to the graph of ...
For Further Reading