F(x) =(2x-1) ⁴(5x+1) f'(x) =...

Hi Akbar, jawaban untuk pertanyaan diatas adalah 400x⁴-576x³+264x²-32x-3 Konsep f(x) =u(x). v(x) f'(x) = u'(x). v(x) + v'(x). u(x) f(x) = (ax-b)^m f'(x) = m. a. (ax-b) ^(m-1) f(x) = ax+b f'(x) =a (x-y)³ = x³ - 3x²y + 3xy² - y³ (x-y)⁴ = x⁴ - 4x³y + 6x²y² - 4xy³ + y⁴ f(x) =(2x-1) ⁴(5x+1) u(x) = (2x-1)⁴ u'(x) = 4.2.(2x-1)³ u'(x) = 8(2x-1)³ v(x) = 5x + 1 v'(x) = 5 f'(x) = u'(x). v(x) + v'(x). u(x) = 8(2x-1)³(5x+1) + 5(2x-1)⁴ = 8(8x³-3(4x²)(1) + 3(2x)(1)- 1)(5x+1) + 5 (16x⁴ - 4(2x)³(1) + 6(2x)²(1)² - 4(2x)(1)³ + 1) = 8(8x³-12x²+6x-1)(5x+1) + 5(16x⁴-32x³+24x²-8x +1) = 8(40x⁴+8x³-60x³-12x²+30x²+6x-5x-1) + 80x⁴ - 160x³ +120x² - 40x + 5 = 8(40x⁴-52x³+18x²+x-1) + 80x⁴ - 160x³ +120x² - 40x + 5 = 320x⁴ - 416x³+144x² + 8x - 8 +80x⁴ - 160x³ +120x² - 40x + 5 = 400x⁴-576x³+264x²-32x-3 Jadi jawabnya adalah 400x⁴-576x³+264x²-32x-3 Semoga terbantu terus gunakan ruang guru makasih