269
1)f`(x)=-6x+13
-6x+13=0
6x=13
x=13/6
+ _
-----------------(13/6)-------------------
max
2)f`(x)=-8-10x
-8-10x=0
10x=-8
x=-0,8
+ _
------------------(-0,8)----------------------
max
270
1)f`(x)=-2x-4
-2x-4=0
-2x=4
x=-2
+ _
----------------(-2)----------------------
max
2)f`(x)=x³-1
x³-1=0
x³=1
x=1
_ +
-----------------(1)--------------------
min
276
1)f`(x)=3x²-2
3x²-2=0
x²=2/3
x=+-√6/3
+ _ +
----------(-√6/3)--------------(√6/3)------------
max min
2)f`(x)=4x³-4x
4x(x-1)(x+1)=0
x=0 x=1 x=-1
_ + _ +
-------(-1)-----------(0)-------------(1)--------
min max min
3)f`(x)=-6-6x
-6-6x=0
x=-1
+ _
-----------------(-1)----------------------
max
4)f`(x)=8x-4x³
4x(√2-x)(√2+x)=0
x=0 x=√2 x=-√2
+ _ + _
---------(-√2)---------(0)-----------(√2)---------
max min max
263
1)f`(x)=x²+5x_7
2)f`(x)=(2x+2-2x+1)/(x+1)²+1=3/(x+1)² +1
3)f`(x)=6x²-6x-12
4)f`(x)=1/4+4/x²