Question

Use a graphing utility to graph the equation. Find an equation of the tangent line to the graph at the given point and graph the tangent line in the same viewing window.

√x + √y = 5,      (9, 4)

Answer 1

Step 1:

The function is and point .

Apply derivative on each side.

Apply power rule of derivatives : .

Apply constant rule of derivatives :.

Step 2:

The points are substitute in .

Find the tangent line equation using point-slope form .

The tangent line equation is .

Step 3:

Graph the function and tangent line to verify the result.

Graph:

Solution:

Graph the function and tangent line .