tomorrowf(x)=x^6-10x^5-400x^4+2500x^3 please help? I am having trouble finishing certain steps about sketching the curve. To sketch the curve, we have to complete serveral steps to the problem.
f(x)=x^6-10x^5-400x^4+2500x^3 is what needs to be graphed.
a) find domain, I got (neg infinity,pos infinity)
b)next is intercepts, the y intercept was easy, i got zero. The x-intercept i am having some trouble simplifying it.
so far i have f(x)=x^6-10x^5-400x^4+2500x^3 = x^3(x^3-10x^2-400x+2500) not sure how to factor this.
c) check sym, i got neither
d) asymptopes, i found no asymptotes in this equation, so no HA/VA/slope
e) intervals of increase/decrease, to include local max/min
found the derivative of the problem, i got
6x^5-50x^4-1600x^3+7500x^2
then factor out the x^2, i got x^2( 6x^3-50x^2-1600x+7500.... not sure how to factor this one... need some help on this step, and finding local max/min/intervals of increase/decrease
f) find intervals of concavity by taking second derivative and finding inflection points.
h)sketch graph....
I am having a lot of trouble with this problem, can someone help me please? I really appreciate it... I need help with a couple steps.
f(x)=x^6-10x^5-400x^4+2500x^3 is what needs to be graphed.
a) find domain, I got (neg infinity,pos infinity)
b)next is intercepts, the y intercept was easy, i got zero. The x-intercept i am having some trouble simplifying it.
so far i have f(x)=x^6-10x^5-400x^4+2500x^3 = x^3(x^3-10x^2-400x+2500) not sure how to factor this.
c) check sym, i got neither
d) asymptopes, i found no asymptotes in this equation, so no HA/VA/slope
e) intervals of increase/decrease, to include local max/min
found the derivative of the problem, i got
6x^5-50x^4-1600x^3+7500x^2
then factor out the x^2, i got x^2( 6x^3-50x^2-1600x+7500.... not sure how to factor this one... need some help on this step, and finding local max/min/intervals of increase/decrease
f) find intervals of concavity by taking second derivative and finding inflection points.
h)sketch graph....
I am having a lot of trouble with this problem, can someone help me please? I really appreciate it... I need help with a couple steps.