anonymous
  • anonymous
Please help on this problem Let f(x) = x-x^3 to determine the approximate slope of the line tangent to the graph of f at (a, f (a)). a = -0.2 slope= ? & a = 0.6 slope=? thanks
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
I am really lost
anonymous
  • anonymous
0.88 was wrong for some reason
dumbcow
  • dumbcow
oh ok well the derivative of f(x) is 1-3x^2

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
can you show me step by step?
anonymous
  • anonymous
a= 0.6 then the slope is ?
dumbcow
  • dumbcow
yeah its called the power rule d/dx x^n = n*x^(n-1) so for x x^1 -> 1*x^0 = 1 for x^3 x^3 --> 3*x^2
anonymous
  • anonymous
could you do the same for question part b?
dumbcow
  • dumbcow
are you sure its not 0.88 ??
anonymous
  • anonymous
i'll plug it in again to be sure
dumbcow
  • dumbcow
1-3(-.2)^2 = 0.88
anonymous
  • anonymous
I plugged it in and its right for a=-0.2
dumbcow
  • dumbcow
for part b) its the same derivative function, you are just evaluating the slope at x=0.6 --> 1-3(.6)^2
anonymous
  • anonymous
ok hold on for sec let me work it out before you tell me the anwser lol
anonymous
  • anonymous
I got -0.72 is that right?
dumbcow
  • dumbcow
nope
anonymous
  • anonymous
awww
dumbcow
  • dumbcow
multiply before you add
anonymous
  • anonymous
-0.08?
dumbcow
  • dumbcow
i think you did 1-3 = -2 * .36 ?? multiply 3*.36 first
dumbcow
  • dumbcow
yes :)
anonymous
  • anonymous
yeahhhh! lol
anonymous
  • anonymous
so the derivitive would be 1-3(x)^2 for this problem only?
dumbcow
  • dumbcow
yes only for the function x-x^3
anonymous
  • anonymous
ok thanks alot

Looking for something else?

Not the answer you are looking for? Search for more explanations.