1)f'(x)=2x+4-9
f'(0)=0
2)f'(x)===
f'(2)=
3)f'(x)=()'+()'=2x+2=
4)f'(x)=
5)f'(x)=4*2cosx(-sinx)=-4sin(2x)
6)f'(x)=
f'(=
1. f'(x)=(х²+х⁴-3х³+2)'=2x+4x³-6x f'(0)=0
2. f'(x)=(2*(2x+3)-2*(2x-1))/(2x+3)²=8/(2x+3)²; f'(2)=8/(7)²=7/49
3. f'(x)=2х*е²ˣ+х²*2е²ˣ=2хе²ˣ*(1+х)
4. f'(x)=2х/(х²+4)
5. f'(x)=-8cosxsinx=-4sin2x
6. f'(x)=(-1/(√(1-x))*(1/2√x); f'(π/4)=(-1/√1-π/4)*(1/2*((√π)/2)))=
(-1/√1-π/4)*(1/2*((√π)/2)))=-√π√(4-π)/π√π=-√(4-π)/π.
1)f'(x)=2x+4
-9
f'(0)=0
2)f'(x)=
=
=
f'(2)=
3)f'(x)=(
)'
+(
)'
=2x
+2
=
4)f'(x)=
5)f'(x)=4*2cosx(-sinx)=-4sin(2x)
6)f'(x)=
f'(
=
1. f'(x)=(х²+х⁴-3х³+2)'=2x+4x³-6x f'(0)=0
2. f'(x)=(2*(2x+3)-2*(2x-1))/(2x+3)²=8/(2x+3)²; f'(2)=8/(7)²=7/49
3. f'(x)=2х*е²ˣ+х²*2е²ˣ=2хе²ˣ*(1+х)
4. f'(x)=2х/(х²+4)
5. f'(x)=-8cosxsinx=-4sin2x
6. f'(x)=(-1/(√(1-x))*(1/2√x); f'(π/4)=(-1/√1-π/4)*(1/2*((√π)/2)))=
(-1/√1-π/4)*(1/2*((√π)/2)))=-√π√(4-π)/π√π=-√(4-π)/π.