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Consider the following function: f(x) = x^4 +6x^2
a. Determine the intervals of increasing and decreasing
b. Determine the local maximum and minimum
c. Determine the intervals of concave up and...

Find the equation of the tangent line of the graph 3x+xy+1=0 at the point x= -1

thank you

maximum, minimum, concave
Question Details: consider the following function: f(x)=x^3-4x^2+5x-2
a. determne the intervals of increasing anddecreasing
b. determine local maximum and minimum
c....

Find the absolute maximum and minimum, if either exist for the function?
f(x)=(x-1)(x-5)^3 +1 on the following intervals,

[0,3], [1,7] and [3,6]


thank you

e^2x (1+e^2x)^3 dx

in front to the "e" is the "s" like sign

1. 32(x^2+1)^7 dx

in front to the bracket is the "s" like sign at the top is 1 and at the bottom 0


thank you

A company manufactures and sells x digital cameras per week. The weekly price demand and cost are p=400-0.4x and c(x)=2000+160x
1. what price should the company charge for cameras, and how many...

can someone help please

f(x) = x^2/(x^2+1)^1/2

Thanks a million

f(x)=x^3ln(2x^4+7)

please help me with this problem, thanks.

xy^2-y-2=0

please help me with this problem thanks