SOLUTION: Q- f(x)=3x^4-8x^3+6x^2+1 Show that f ′(x) = 12x (x-1)2 Find the intervals on which f (x) is increasing or decreasing. Find the local maximum and minimum of f (x), if a

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Question 965179: Q- f(x)=3x^4-8x^3+6x^2+1
Show that f ′(x) = 12x (x-1)2
Find the intervals on which f (x) is increasing or decreasing.
Find the local maximum and minimum of f (x), if any.
Show that f "(x) = 12(x-1)(3x-1)
Find the intervals on which the graph of f (x) is concave up or concave down.


Q-Use the logarithmic differentiation to differentiate the function
y= cube root x(x+1)(x-2)/(x^2-2)(2x+3)


Q- differentiate the following function:
f(x)=(x2+1)cube root x^2+2
f(x)= (x+1)^4/squer root x^2-1
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!



Decreasing: (,)
Increasing: (,)
Absolute min : (,)
Local min : (,)
Concave up:(,)U(,)
Concave down: (,)
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