penyelesaian :
----------------------------------------------
f(x) = axⁿ
f'(x) = n.axⁿ-¹
=============
mencari turunan pertama
f(x) = 10x⁴ + 5x⁵ - 2022
f'(x) = 4.10x⁴-¹ + 5.5x⁵-¹ - 0
f'(x) = 40x³ + 25x⁴
mencari turunan kedua
f''(x) = 3.40x³-¹ + 4.25x⁴-¹
f"(x) = 120x² + 100x³
subtitusi
f(x) = 120x² + 100x³
f(3) = 120(3)² + 100(3)³
f(3) = 120(9) + 100(27)
f(3) = 1.080 + 2.700
f(3) = 3.780
Penjelasan dengan langkah-langkah:
ditanya
f''(3)
jawab
menentukan f''(3)
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penyelesaian :
----------------------------------------------
f(x) = axⁿ
f'(x) = n.axⁿ-¹
=============
mencari turunan pertama
f(x) = 10x⁴ + 5x⁵ - 2022
f'(x) = 4.10x⁴-¹ + 5.5x⁵-¹ - 0
f'(x) = 40x³ + 25x⁴
mencari turunan kedua
f'(x) = 40x³ + 25x⁴
f''(x) = 3.40x³-¹ + 4.25x⁴-¹
f"(x) = 120x² + 100x³
subtitusi
f(x) = 120x² + 100x³
f(3) = 120(3)² + 100(3)³
f(3) = 120(9) + 100(27)
f(3) = 1.080 + 2.700
f(3) = 3.780
Penjelasan dengan langkah-langkah:
ditanya
f''(3)
jawab
menentukan f''(3)