Calculus
posted by Terry .
y= (t^3 + t)/(t^4  2)
y'=

Calculus 
JJ
This is derivative of a division (fraction.
the rule is
the denominator times the derivative of the numerator  the numerator times the derivative of the denominator.
ALL OVER the denominator squared.
The denominator of the derivative is the easy part. It is just (t^4 2)^2
Now.. lets work on the other part.
(t^4 2)(3t^2+1)(t^3+t)(4t^3)
You have to multiply and simplify the numerator and put it over the denominator. Be careful of the negative signs.
Respond to this Question
Similar Questions

mathcalculus
1.For any function y+f(x), express dy/dx using limit notation. Give a clear explanation for your given answer. you probably meant to type y=f(x) By definition dy/dx = Limit (f(x+∆x)  f(x))/∆x as ∆x>0 The explanation … 
Calculus
What is the use of Calculus? How is it use in jobs? 
PreCalculus/Calculus
I am too embarassed to ask this Calculus (really precalculus) question in tutoring, because I know I should know. Is the inverse of f(x)=3x1 actually f(x)=1/3x+1? 
math
8. In an interview of 50 math majors, 12 liked calculus and geometry 18 liked calculus but not algebra 4 liked calculus, algebra, and geometry 25 liked calculus 15 liked geometry 10 liked algebra but neither calculus nor geometry 2 … 
Algebra
In an interview of 50 math majors, 12 liked calculus and geometry 18 liked calculus but not algebra 4 liked calculus, algebra and geometry 25 liked calculus 15 liked geometry 10 liked algebra but neither calculus nor geometry 2 liked … 
Calculus
What is the simplest solution to the Brachistochrone problem and the Tautochrone problem involving calculus? 
Finite Math
Fifty percent of students enrolled in calculus class have previously taken precalculus. Thirty percent of these students received an A for the calculus class, whereas twenty percent of the other students received an A for calculus. … 
Calculus
How do you simplify vectors? 1)AB + BC + CD 2) BC  FE  BA + DE  DC Calculus  Steve, Tuesday, September 22, 2015 at 11:39pm AB+BC = AC so, AB+BC+CD = AD BCDC = BC+CD = BD See if you can use that idea to rearrange +/ terms so the 
Calculus
Hellp I have a calculus test on Monday 2. Calculate the slope of the tangent to the given function at the given point or value of x a. f(x)=3/x+1,P(2,1) b.h(x)=2/squareroot x + 5, P(4,2/3) ****Full solutions to please because I do … 
Calculus
Use the second fundamental theorem of calculus to find F'(x) F(x)=The integral from 0 > x^2 (Sin(x)^2)dx