thilinag
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Recent Activity

Answered a Question in Math
f(x) is concave up First derivative, `f'(x) = 1*(x4)^3+x*3*1*(x4)^2` `f'(x) = (x4)^2(x4+3x)` `f'(x) = 4(x4)^2(x1)` There are only two critical points, x = 4 and x = 1 Second derivative,... 
Answered a Question in Math
First derivative can be found using the quotient rule. `f'(x) = ((x1)*1  x*x)/(x1)^2` `f'(x) = (x^2+x1)/(x1)^2` At critical points, f'(x) = 0 x^2+x1=0 Roots can be found by the using the... 
Answered a Question in Math
First derivative, `f'(x) = 1+4*(1)*x^(11) = 14x^2` At critical points, `f'(x) = 0,` `14/x^2 = 0` `1=4/x^2` `x^2=4 ` `x = 2 or x = +2` At x = 2, f(x) = 2+4/(2) = 4. At x = 2, f(x) =... 
Answered a Question in Math
First derivative, `f'(x) = 1/2 * 2*x (x^2+1)^(1/21)` `f'(x) = x(x^2+1)^(1/2)` Therefore, `x(x^2+1)^(1/2) = 0.` This gives, x = 0 At x = 0, f(x) = 1. Therefore, the point (0,1) is a critical... 
Answered a Question in Math
First derivative, `f'(x) = 2/3*x^(2/31) 0 = 2/3x^(1/3)` At critical points, `f'(x) = 0` Therefore, `2/3x^(1/3) = 0` This gives, x = 0 At `x = 0, f(x) = 03 = 3.` Therefore, the point (0,3)...
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