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.Com
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) (Show Source): You can put this solution on YOUR website!
f(x) =2x2 at x = 1
-----------
f'(x) = 4x
f'(1) = 4
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
First apply the constant multiple rule:
'\ =\ a\cdot f')
so
Given \ =\ 2x^2)
we can say:
\ =\ 2\frac{d}{dx}(x^2))
Next apply the power rule:
\ =\ nx^{n-1})
So:
\ =\ 2(2x^{2-1})\ =\ 4x)
And finally, to evaluate the first derivative at x = 1:
\ =\ 4x)
therefore
\ =\ 4(1)\ =\ 4)
John
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