SOLUTION: Help me to understand how to work this problem. f(x) =2x2 at x = 1 The question: find the derivative of the function and evaluate the derivative at the given x value.

Algebra ->  Graphs -> SOLUTION: Help me to understand how to work this problem. f(x) =2x2 at x = 1 The question: find the derivative of the function and evaluate the derivative at the given x value.      Log On


   

Question 232975: Help me to understand how to work this problem.
f(x) =2x2 at x = 1
The question: find the derivative of the function and evaluate the derivative at the given x value.
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) =2x2 at x = 1
-----------
f%28x%29+=+2x%5E2
f'(x) = 4x
f'(1) = 4

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


First apply the constant multiple rule:



so

Given we can say:



Next apply the power rule:



So:



And finally, to evaluate the first derivative at x = 1:



therefore




John