10.

 

f(x) = 3x+x^3,  x is bigger than 0

  1. Differentiate to find  f ‘ (x)

 

 

Given that f ‘ (x) = 15

  1. Find the values of x

 

 

11) The curve c has an equation Y = kx^3 -x^2 +x-5 where k is a constant find dy/dx

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1 Answer

10. f'(x)=3+3x^2=15; x^2=(1/3)(15-3)=4, so x=-2 or 2. But if x>0, x=2 is the solution.

11. dy/dx=3kx^2-2x+1
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