F(x) = 16x³ + 21x⁴ f”‘(x) = ​

Penjelasan dengan langkah-langkah:

f(x) = 16x³ + 21x⁴

f'(x) = 16(3)x^3-1 + 21(4)x^4-1

f'(x) = 48x² + 84x³

f''(x) = 48(2)x^2-1 + 84(3)x^3-1

f''(x) = 96x¹ + 252x²

f'''(x) = 96(1)x^1-1 + 252(2)x^2-1

f'''(x) = 96 + 504x

f'''(x) = 504x + 96

Penyelesaian

f(x) = axⁿ → f'(x) = n . axⁿ ⁻ ¹

f(x) = 16x³ + 21x⁴

f'(x) = 3 . 16x³⁻¹ + 4 . 21x⁴⁻¹

f'(x) = 48x² + 84x³

f''(x) = 2 . 48x²⁻¹ + 3 . 84x³⁻¹

f''(x) = 96x¹ + 252x²

f'''(x) = 1 . 96x¹⁻¹ + 2 . 252x²⁻¹

f'''(x) = 96x⁰ + 504x¹

f'''(x) = 96 + 504x