Calculus

Extrema

Local Extrema

         

What is the extreme value of the function f(x)=x+219lnx? f(x) = x + 219 - \ln x ?

f(x)=x3+3ax2+13bx+c f(x) = x^3 + 3ax^2 + \frac{1}{3}bx + c has local extrema at x=1 x = -1 and x=3x = 3 , for real numbers aa, bb and cc. What is the value of a+b |a + b| ?

Details and assumptions

The notation | \cdot | denotes the absolute value. The function is given by x={xx0xx<0 |x | = \begin{cases} x & x \geq 0 \\ -x & x < 0 \\ \end{cases} For example, 3=3,2=2 |3| = 3, |-2| = 2 .

What is the value of the local maximum of the function f(x)=x3+15x2+17? f(x) = -x^3 + 15x^2+17 ?

If f(x)=ax+bx2+1 f(x) = \frac{ax+b}{x^2+1} has a local maximum of 22 22 at x=1, x = 1, what is the value of a+b? a + b?

What is the minimum value of f(x)=10ex10ex+8? f(x) = 10{e}^x-10ex+8 ?

×

Problem Loading...

Note Loading...

Set Loading...