Thursday

April 24, 2014

April 24, 2014

Posted by **Jon** on Sunday, November 11, 2007 at 12:21pm.

x^2-y^2=16, (5,3)

I need to show work, so answers formatted in this manner would be most appreciated. Thanks! :) :)

- Calculus -
**drwls**, Sunday, November 11, 2007 at 12:30pmFor the tangent line slope, you want dy/dx.

In your case you can differentiate both sides of the equation with respect to x, treating y as a function of x.

2x - 2 dy*dy/dx = 0

dy/dx = x/y = 5/3

For the equation of the line, write it in the form

(y -3)/(x-5) = slope = 5/3

y-3 = (5/3)(x-5) = 5/3 x -25/3

y = (5/3)x -16/3

- Calculus -
**Jon**, Sunday, November 11, 2007 at 12:50pmThanks so much! :)

You're a lifesaver!

**Related Questions**

College Calculus - Let f(x) = 3x^2 - 2x + 1 a) write an equation of the line ...

Calculus - Find an equation of the tangent line to the graph of the function f ...

Calculus - Find an equation of the tangent line to the graph of the function f ...

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

Calculus - If f(2)=3 and f'(2)=5, find an equation of a. The tangent line b. The...

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 2nd Post please help - Find an equation of the tangent line to the ...

calculus - To find the equation of a line, we need the slope of the line and a ...

Calculus - Line l is tangent to the graph of y= x - x²/500 at point Q & it ...