f(x) = (x^3 - 5) . √(5x + 1)
f'(x) = 3x² . √(5x + 1) + (x^3 - 5) . 1/2 . (5x + 1)^(-1/2) . 5
f'(3) = 3 . 3² . √(5 . 3 + 1) + (3^3 - 5) . 1/2 . (5 . 3 + 1)^(-1/2) . 5
f'(3) = 3 . 9 √(15 + 1) + (27 - 5) . 1/2 . (15 + 1)^(-1/2) . 5
f'(3) = 27 . √(16) + 22 . 1/2 . (16)^(-1/2) . 5
f'(3) = 27 . 4 + 11 . 4^(-1) . 5
f'(3) = 108 + 55/4
f'(3) = 108 + 13 3/4
f'(3) = 121 3/4
Jawabannya C
Jawab:
Penjelasan dengan langkah-langkah:
" Life is not a problem to be solved but a reality to be experienced! "
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f(x) = (x^3 - 5) . √(5x + 1)
f'(x) = 3x² . √(5x + 1) + (x^3 - 5) . 1/2 . (5x + 1)^(-1/2) . 5
f'(3) = 3 . 3² . √(5 . 3 + 1) + (3^3 - 5) . 1/2 . (5 . 3 + 1)^(-1/2) . 5
f'(3) = 3 . 9 √(15 + 1) + (27 - 5) . 1/2 . (15 + 1)^(-1/2) . 5
f'(3) = 27 . √(16) + 22 . 1/2 . (16)^(-1/2) . 5
f'(3) = 27 . 4 + 11 . 4^(-1) . 5
f'(3) = 108 + 55/4
f'(3) = 108 + 13 3/4
f'(3) = 121 3/4
Jawabannya C
Jawab:
Penjelasan dengan langkah-langkah: