Answer:
<u>-12x³</u>
(x⁴ +1)⁴
Step-by-step explanation:
y=1/(x^4+1)^3
y= (x⁴+1)-³
<u>dy</u><u> </u>= <u>d</u><u>(</u><u>x⁴</u><u>+</u><u>1</u><u>)</u><u>-</u><u>³</u> × <u>d</u><u>(</u><u>x</u><u>⁴</u><u>+</u><u>1</u><u>)</u>
dx d(x⁴+1) dx
=-3.(x⁴+1)-³-¹× 4x³
= -12x³(x⁴+1)-⁴
= <u>-</u><u>12</u><u>x</u><u>³</u>
(x⁴+1)⁴
Note: <u>d</u><u>x</u><u>^</u><u>n</u><u> </u> =(n. x^n-1)<u>dx</u>
dx dx
I think the point (4,60) represent the velocity
as the velocity at this point = distance / time
so v= 15 km/h
Answer:
y would be where u put the 3x by the x4
Answer:
The function f(x) = 3x^2 +2x+1/x^2+1 is continuous.
Step-by-step explanation:
The function is continuous since the denominator x^2+1 has no real roots.
This also means that the function f(x) = 3x^2 +2x+1/x^2+1 has no vertical asymptotes.
The Graph of the function is attached. There is one<em> horizontal</em> asymptote can also be identified at y=3.
Answer:
45+46+47
-2+-3+-4
Step-by-step explanation: