SOLUTION: Find dy/dx and calculate the gradient of the tangent to the curve y=1/square root 1+x at the point where x = 3.

Algebra ->  Test  -> Lessons -> SOLUTION: Find dy/dx and calculate the gradient of the tangent to the curve y=1/square root 1+x at the point where x = 3.      Log On


   



Question 1190801: Find dy/dx and calculate the gradient of the tangent to the curve y=1/square root 1+x at the point where x = 3.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find dy/dx and calculate the gradient of the tangent to the curve y=1/square root 1+x at the point where x = 3.
--------------
y+=+1%2Fsqrt%28x%2B1%29+=+%28x%2B1%29%5E-0.5
dy/dx = %28-1%2F2%29%2A%28x%2B1%29%5E-1.5
-------
At x = 3: dy/dx = (-1/2)*2^-3 = -1/16