F(x) = 6x⁴ + 20x³ + 15x f"(x) =

F(x) = 6x⁴ + 20x³ + 15x f”(x) =

Penjelasan dengan langkah-langkah:

$sf f(x) = 6x⁴ + 20x³ + 15x$

$sf f'(x) = 6(4) {x}^{4 - 1} + 20(3) {x}^{3 - 1} + 15(1) {x}^{1 - 1}$

$sf f'(x) = 24 {x}^{3} + 60 {x}^{2} + 15$

$sf f''(x) = 24(3) {x}^{3 - 1} + 60(2) {x}^{2 - 1} + 0$

$sf f''(x) = 72 {x}^{2} + 120x$

Penjelasan dengan langkah-langkah:

f(x) = 6x⁴ + 20x³ + 15x

f'(x) = n × a × xⁿ‾¹

f'(x) = 4 × 6 × x^4-1 + 3 × 20 × x^3-1 + 1 × 15 × x^1-1

f'(x) = 24 × x³ + 60 × x² + 15x⁰

f'(x) = 24x³ + 60x² + 15

f"(x) = 3 × 24 × x^3-1 + 2 × 60 × x^2-1 + 0 × 15 × 0

f"(x) = 72 × x² + 120 × x¹ + 0

f"(x) = 72x² + 120x