The graph of the equation xy=4 is symmetric with respect to which of the following?
1 answer:
The graph of x and y = 4 is symmetric with respect to the line x = y.
Therefore, the answer is the second option shown above, which is:
<span>the line y = x</span>
Below is a graph where you can see the symmetry of xy = 4 with respect to the oblique axis x = y. This axis cuts the curves just at its apex
Therefore, the answer is the second option shown above, which is:
<span>the line y = x</span>
Below is a graph where you can see the symmetry of xy = 4 with respect to the oblique axis x = y. This axis cuts the curves just at its apex
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Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given
The derivative is
(a) The slope of the tangent line at (1,0) is
(b) The equation of the tangent line can be found with the general formula of the line:
Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus
Or, equivalently