posted by .

Find the slope and the equation of the tangent line to the graph of the function f at the specified point.

f(x)=-10/3x^2+6x+6; (-1, -10/3)

slope ??

tangent line y = ?

f'=+10(6x+6)/(3x^2+6x+6)^2
slope at x=-1
f'=0

y=mx+b=0+b
-10/3=b
y=-10/3 is the tangent line.

that wasn't right

is f(x)=-10/(3x^2+6x+6) or is
f(x)=-(10/3x^2 )+ 6x + 6 ?

## Similar Questions

Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x) = 2 x - 4 x^2( at ) (-2,-20) m= y=
2. ### College Calculus

Let f(x) = 3x^2 - 2x + 1 a) write an equation of the line going through the points (1, f(1)), and (2, f(2)). b) Find a point on the graph of f where the tangent line to the graph has the same slope as the line in part (a). Write the …
3. ### math

Find the slope m and an equation of the tangent line to the graph of the function f at the specified point. f(x)=x^2/x+4 ; (3,9/7)
4. ### math

Find the slope and the equation of the tangent line to the graph of the function f at the specified point. f(x)=-10/3x^2+6x+6; (-1, -10/3) slope ?
5. ### math

Find the slope m and an equation of the tangent line to the graph of the function f at the specified point. F(X)=x^2/x+6;(3,1) m = ?
6. ### math

Find the slope m and an equation of the tangent line to the graph of the function f at the specified point. f(x)=x^2/x+4 ;(1,1/5) m =?
7. ### math

Find the slope m and an equation of the tangent line to the graph of the function f at the specified point. f(x)=x^2/x+4 ;(1,1/5) m =?
8. ### Calculus

Find the slope and the equation of the tangent line to the graph of the function f at the specified point. f(x) = -8/5 x^2 + 7 x + 7;(-1, -8/5) slope tangent line y =
9. ### calculus

1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))?
10. ### Calculus AB

Sorry but I've got a lot of problems that I don't understand. 1) Let f(x)= (3x-1)e^x. For which value of x is the slope of the tangent line to f positive?

More Similar Questions