A)f(x)=(8x^5-5x^8)^12 б)f(x)=(1/9 - 3x³)^27 в) f(x)=(4x^10-5x)^10 г)f(x)=(x^5-4x^4)^130 вычислите производные функций ответы б)-81x² (1/9-3x³)^26 г)130x³(5x-16)(x^5-4x^4)^129

a)f(x)=(8x⁵-5x⁸)¹²

  f ' (x)=12(8x⁵-5x⁸)¹¹ * (40x⁴-40x⁷)

 

б) f(x)=(1/9 - 3x³)²⁷   ваш ответ не верный

        f ' (x)=27(1/9-3x³)²⁶ * (-9x²)=-243x²(1/9-3x³)²⁶

 

в) f(x)=(4x^10-5x)^10

      f ' (x)=10(4x¹⁰-5x)9 *(40x⁹-5)

   

г) f(x)=(x^5-4x^4)^130

      f ' (x)=130(x⁵-4x⁴)¹²⁹ * (5x⁴-16x³)

 

a)f(x)=(8x⁵-5x⁸)¹²

f ' (x) = ((8x⁵-5x⁸)¹²) ' = 12*(8x⁵-5x⁸)¹¹ * (8x⁵-5x⁸) ' =  12*(8x⁵-5x⁸)¹¹ * (40x⁴-40x⁷) =  12*(8x⁵-5x⁸)¹¹ * 40x⁴(1-x³) = 480x⁴ *  (8x⁵-5x⁸)¹¹ *  (1-x³)

 

б)f(x)=(1/9 - 3x³)²⁷

f ' (x) = ((1/9 - 3x³)²⁷) ' = 27(1/9 - 3x³)²⁶ * (1/9 - 3x³) ' =    27(1/9 - 3x³)²⁶ * (-3*3x²) =  27(1/9 - 3x³)²⁶ * (-9x²) = -243x² *  (1/9 - 3x³)²⁶

 

в) f(x)=(4x¹⁰-5x)¹⁰

f ' (x) = ((4x¹⁰-5x)¹⁰) ' = 10(4x¹⁰-5x)⁹ * (4x¹⁰-5x) ' =    10(4x¹⁰-5x)⁹ * (40x⁹-5)=  10(4x¹⁰-5x)⁹ * 5(8x⁹-1)=50(4x¹⁰-5x)⁹ * (8x⁹-1)

 

г)f(x)=(x⁵-4x⁴)¹³⁰

f ' (x) = ((x⁵-4x⁴)¹³⁰) ' = 130(x⁵-4x⁴)¹²⁹ * (x⁵-4x⁴) ' =  130(x⁵-4x⁴)¹²⁹ * (5x⁴-16x³) =  130(x⁵-4x⁴)¹²⁹ * x³(5x-16) =  130*x³ *  (x⁵-4x⁴)¹²⁹ * (5x-16)

at our lessons we answer the teacher's questions.

in england they don't go to school every day.

i do my homework in my bedroom.

the pupils on duty tidy the classroom.

all the pupils have to wear uniforms.

i come to school at a quarter to eight.

we like to make reports.

 

i do me homework every day.

i have my music lessons two times a week.

we have english three times a week.

this magazine is published to times a month.

i visit my aunt three times a month.

i never miss classes.

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they seldom go to the theatre.

 

i don't want to answer the teacher's questions.

my friends and i  go to school every day.

i do my homework at school.

every friday the students tidy their classrooms.

we don't have to wear a uniform  at our school.

as a rule they  come to school at 8 a.m.

my sister like to make reports on geography.

 

we must do washing up every day.

i have to play chess two times a week.

we go to a swimming pool three times a week.

my mother goes to the dentist two times a month.

i go to the disco three times a month.

i have never been to volgograd.

she goes to the cinema very often.

they seldom sing and dance.