Saturday

November 22, 2014

November 22, 2014

Posted by **Karen** on Monday, August 4, 2014 at 7:37pm.

f '(x) = y0 − y/x0 − x

f(x) = √x

(x0, y0) = (-16, 0)

y=?

- Calculus -
**Damon**, Monday, August 4, 2014 at 7:51pmy = x^.5

y' = .5 x^-.5

sketching this I am going to reverse slope equation

y' at tangent = m = (y-yo) /( x-xo) = .5x^-.5

y' = m = (y-0)/(x+16) = .5 x^-.5

x^.5 /(x+16) = .5 x^-.5

x/(x+16) = .5

x = .5 x + 8

.5 x = 8

x = 16

so the tangent hits the curve at x = 16

where y = 4 so at

(16,4)

so this line goes through

(-16,0) and (16,4)

You can take it from there I am sure.

**Answer this Question**

**Related Questions**

Calculus - 1. Given the function f defined by f(x) = x^3-x^2-4X+4 a. Find the ...

Math- calculus - Given f(x) = x ^ 3 - x ^ 2 -4x +4 Find the zeros of f. Write an...

calculus - let f be the function f(x) = x^3 + 3x^2 - x + 2 a. the tangent to the...

Math--Calculus - Let y = f(x) be the continuous function that satisfies the ...

Calculus Please someone help - 1. Find the slope m and an equation of the ...

cal - find the equation of a quadratic function whose graph is tangent at x=1 to...

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

cal - Equations of the tangent lines to hyperbola xy=1 that pass through point...

Calculus - Damon - Find the line which passes through the point (0, 1/4) and is ...

Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...