SOLUTION: First find the general derivative of f (x) =(√x −1) . Then find the
equation of the tangent line to the graph at x = 10.
Algebra.Com
Question 438211: First find the general derivative of f (x) =(√x −1) . Then find the
equation of the tangent line to the graph at x = 10.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
 = \sqrt{x} - 1 = x^{\frac{1}{2}} - 1)
 = \frac{1}{2}x^{-\frac{1}{2}} = \frac{1}{2\sqrt{x}})
Replace x with 10
 = \frac{1}{2\sqrt{10}} = \frac{\sqrt{10}}{20})
Since  = \sqrt{10} - 1)
, we have the slope of the tangent line through this point. Use this with the y = mx + b form of a line to find the y-intercept.
RELATED QUESTIONS
Q¬
Use the definition of the derivative to find f ′(x) if
f(x)=x^2+x
f(x)=... (answered by solver91311)
For f(X) = X^4, the derivative is known to be -4 at X = -1. find the equation of the... (answered by Boreal)
(a) use the method of first principal of differentiation to find the derivative of... (answered by Boreal,solver91311)
Find the equation of the tangent to the graph at the indicated point. HINT: Compute the... (answered by Alan3354)
Let f(x)=x^3-x^2-5x-1. Find an equation of the line tangent to the graoh of f at the... (answered by Fombitz)
Find an equation of the tangent line to the graph of f(x)=x^2-2x at... (answered by richard1234)
Let f(x) = x√x − 2√(x + 3)
b) What is the slope of the tangent line to (answered by josgarithmetic)
Please help,
Consider the function f(x) = x2 − 1. Find the equation of the... (answered by rothauserc)
Find the equation of the tangent line to the graph of f(x)= 5-2 lnx at... (answered by ikleyn)