SOLUTION: Let f(x) = x√x − 2√(x + 3) b) What is the slope of the tangent line to the graph of f when x = 1? c) What is the rate of change of the function f at x = 1? I

Algebra ->  Functions -> SOLUTION: Let f(x) = x√x − 2√(x + 3) b) What is the slope of the tangent line to the graph of f when x = 1? c) What is the rate of change of the function f at x = 1? I      Log On


   

Question 1036393: Let f(x) = x√x − 2√(x + 3)
b) What is the slope of the tangent line to the graph of f when x = 1?
c) What is the rate of change of the function f at x = 1?
I have already found the derivative and got 3√x / 2 + 1/(x+3)^(3/2). I know for b you would sub in 1 and I got 1.625 but then c...is it not the same thing? what is the difference?
Answer by josgarithmetic(39792) About Me  (Show Source):
You can put this solution on YOUR website!
(c) is similar to (b). What is the value of the derivative at x=1?
Are you still stuck?


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Yes. These questions are the same. Differentiate f with x. Both questions ask for the value of the derivative at x=1.