Soal Dan Pembahasan Turunan

SOAL DAN PEMBAHASAN TURUNAN

1. Carilah f’ jika f(x) = f’(x)= f’(x)= f’(x)= f’(x)= f’(x)=

 = =

f’(x)=

2. Carilah =

)+

)-

)+

)+

)+

)

=8x7+12(5x4)- 4(4x3)+10(3x2)-6(1)+0 =8x7+60x4-16x3+30x2-6

3. Carilah Turunan dari

   x     f   x     x  1    

5

   x     f    x   5  x  1    

4

1

   x     5  x  1     

5 x

4

1   x 

6

4

 11   x   1 x     2   1   x     

 1   x   x     1   x 2     

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4. Carilah Turunan Turunan dari y = Catatan : Rumus Matematika

(

=

( 1

( Jawab : Misalkan

, Maka

Dengan menggunakan aturan rantai kita peroleh :

y= =

=

=

5. Bila

adalah konstanta. Tentukan

Jawab : catatan : ( = Karena

, maka

2=

2 = = =

=0

sehingga