Sunday

April 20, 2014

April 20, 2014

Posted by **jon** on Tuesday, January 31, 2012 at 8:17pm.

- calculus -
**Reiny**, Tuesday, January 31, 2012 at 9:07pmso the point of contact is (c, √c)

y = √x = x^(1/2)

dy/dx = (1/2)x^(-1/2)

at our point

dy/dx = (1/2)c^(-1/2) = 1/(2√c) = slope = m

y = (1/(2√c) x + b

at(c, √c)

√c = (1/(2√c)(c) + b

times 2√c

2c = c + 2√c b

c = 2√c b

b = c/√c

y = (1/(2√c)) x + c/√c

check my arithmetic

You could rationalize the denominator if you had to.

**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...