SOLUTION: Please help me with this problem: Find the slope of the tangent line which can be drawn to the function xy = 1 at x = 1.

Algebra.Com
Question 1027428: Please help me with this problem:
Find the slope of the tangent line which can be drawn to the function xy = 1 at x = 1.

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Apply the product rule:
(xy)' = y + xy' = (1)' = 0.
Now when x = 1, from xy = 1 we get y = 1.
==> 1 + 1*y' = 0
==> y' = -1, the slope of the tangent line which can be drawn to the function at x = 1.

RELATED QUESTIONS

Please help me solve this problem: Let f be a quadratic function. The slope of the... (answered by Fombitz)
Please help me with this: The function f(x) = {{{x^3}}} + x is a one-to-one function,... (answered by robertb)
Please help me with my assignment. Use Implicit differentiation to find the Derivative... (answered by ikleyn)
I need help with this problem please: Find the equation of the tangent line which can be (answered by Alan3354)
Can anyone help with the following problem? What is the slope of the tangent line to the (answered by nerdybill)
All parts of this problem refer to the function below. y=(6+3x)^5/x a) Use logarithmic... (answered by greenestamps)
All parts of this problem refer to the function below. y=(6+3x)5/x a) Use logarithmic... (answered by Solver92311)
The tangent to the circumcircle of triangle WXY at X is drawn, and the line through W... (answered by math_tutor2020)
In consider the function 1/x Find the slope of the line L tangent to the graph of... (answered by rothauserc)