Saturday

April 19, 2014

April 19, 2014

Posted by **Liz** on Saturday, June 30, 2012 at 2:17pm.

Funtion:

f(x)=1/sqrt(x-1)

Line:

x+2y+7=0

- Calculus -
**bobpursley**, Saturday, June 30, 2012 at 5:05pmf'=-1/2 * (x-1)^-1.5

that is the slope then tangent to the line.

y=-x/2-3.5

so slope is -1/2

f'=-1/2 * (x-1)^-3/2=-1/2

solving, x=2

then

y=1/sqrt(x-1)=1 so the point of tangency is 2,1

y=mx+b

2=-1/2 (1)+b

b=2.5

y=-x/2+2.5

check all this.

**Related Questions**

Calculus - If f(x)=(3x)/(1+x^2) find f′(4). Use this to find the equation ...

Calculus - If F(x)=x^3−7x+5, use the limit definition of the derivative to...

calculus - find the equation of a quadratic function whose graph is tangent at x...

calculus - 5. Let f be the function given by f(x) = x3- 7x + 6. a. Find the ...

Calculus - Find an equation for the tangent line of the function y=x+(4/x) at ...

Calculus - Find the equation of the tangent line to the curve y=2sinx at the ...

calculus - -find the equation of the tangent line to the curve y=5xcosx at the ...

calculus - for the function f(x)=4x^2 +7, find the equation of the tangent line ...

math calculus - Use implicit differentiation to find the equation of the tangent...

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