Saturday

March 28, 2015

March 28, 2015

Posted by **Jack** on Tuesday, October 4, 2011 at 9:49pm.

y=f(x) at which the tangent lines are parallel to the line x−2y=2.

Type in the x values of

these points. Type the smaller number first, then the larger number.

- Calculus -
**Reiny**, Tuesday, October 4, 2011 at 10:23pmf(x) = x - 1/(1+5x)

= x - (1+5x)^-1

f'(x) = 1 + (1+5x)^-2 (5)

= 1 + 5/(1+5x)^2

the slope of x-2y=2 is 1/2

so

1 + 5/(1+5x)^2 = 1/2

5/(1+5x)^2 = -1/2

(1+5x)^2 = -10

A square of something cannot be negative, so

either there is no solution or you made an error in typing.

Was the equation perhaps

f(x) = (x-1)/(1+5x) ?

- Calculus -
**Jack**, Tuesday, October 4, 2011 at 10:27pmyeah that's what I meant

**Answer this Question**

**Related Questions**

Calculus - If f(x)=[(x−1)/(1+5x)], there are two points on the graph of y=...

Calculus - The graph of the equation x2 − xy + y2 = 9 is an ellipse. Find ...

Calculus - For what values of x is the tangent line of the graph of f(x)=8x3+...

Calculus - Sketch a graph of the parabola y=x^2+3. On the same graph, plot the ...

Maths-Calculus - If f(2)=1 and f(2+h)=(h+1)3, compute f′(2). If f(−...

calculus: multivariable - Find the points on the hyperboloid x2 −y2 +2z2...

calculus - Find an equation for the surface consisting of all points P(x, y, z) ...

Calculus - Find all points at which the graph of f (x) = x^3 −3x has ...

Calculus (final question I promise) - 1. Use calculus and algebraic methods to ...

calculus - Find the coordinates of points where the graph of f(x) has horizontal...