anonymous
  • anonymous
f(x) = x-x^3 a = -0.2 slope =??
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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dumbcow
  • dumbcow
could you clarify the question? what does a refer to?
anonymous
  • anonymous
tangents
anonymous
  • anonymous
Let f(x) = x-x^3. determine the approximate slope of the line tangent of f at (a, f (a)).

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anonymous
  • anonymous
a = -0.2 slope=?
anonymous
  • anonymous
I think derivitives
dumbcow
  • dumbcow
ok thank you the slope of f(x) can be determined by taking derivative f'(x) =1 - 3x^2 now plug in x = -0.2 f'(-0.2) = 1 - 3(-.2)^2 = 0.88
anonymous
  • anonymous
so 0.88 would be the slope?
dumbcow
  • dumbcow
yes f'(x) is same thing as slope at point (x, f(x))
anonymous
  • anonymous
thank you
dumbcow
  • dumbcow
do you know how to take the derivative of polynomials?
dumbcow
  • dumbcow
d/dx x^n = n*x^(n-1)

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