Question

Materinya tentang turunan hasil kali fungsi-fungsi aljabar
soal:
tentukan turunan fungsi" berikut:
a. F(x)= (3x²+2x)(4x³+5X²)-6x+1
b. f(x)= 6x^4(3x³+2x²)

Answer 1

F(x) = (3x²+2x)(4x³+5X²)-6x+1
       = 112x^5 + 15x^4 + 8x^4 + 10x³ - 6x + 1
       = 2x^5 + 23x^4 + 10x³ - 6x + 1
      
F'(x) = 60x^4 + 92x³ + 30x² - 6


f(x)= 6x^4(3x³+2x²)
f'(x) = 24x³(3x³ + 2x²) + 6x^4(9x² + 4x)  atau
       = 72x^6 + 48x^5 + 54x^6 + 24x^5
       = 128x^6 + 72x^5