Matematika #3 ( Q. Malem )Mudah aja.f(x) = 8x² + 5x³ - 10f"(-3) = ...?__________1 + 1 = ...​

clairenitzscheulv – March 31, 2023

#3 ( Q. Malem )

Mudah aja.
f(x) = 8x² + 5x³ - 10
f"(-3) = ...?
__________
1 + 1 = ...​

Nomor satu

f(x) = 8x² + 5x³ - 10

Cari Turunan Pertama

8x² + 5x³ - 10

( 2 × 8 )x^(2-1) + ( 3 × 5 )x^(3-1) - ( 10 × 0 )

16x¹ + 15x² - 0

Cari Turunan kedua

16x + 15x²

( 1 × 16 )x^(1-1) + ( 2 × 15 )x^(2-1)

16x^0 + 30x^1

16(1) + 30x

16 + 30x

lalu, hasil dari f"(-3) :

16 + 30x

16 + 30(-3)

16 + ( -90 )

( -74 )

__________________________

Nomor dua

1 + 1

( 1 + 1 )

( 2 )

2

[tex]\boxed{\colorbox{purple}{ \colorbox{pink}{ \bf{NanazCanss< 3}}}}[/tex]

1. f(x) = 8x² + 5x³ - 10

 f'(x) = 8(2)x²⁻¹ + 5(3)x³⁻¹

       = 16x + 15x²

 f''(x) = 16x¹⁻¹ + 15(2)x²⁻¹

        = 16 + 30x

 f''(-3) = 16 + 30(-3)

        = -74

2. 1 + 1

 = 2

[answer.2.content]