jika f(x) = √x²+1 maka f¹(x) =
Matematika
mkresna
Pertanyaan
jika f(x) = √x²+1 maka f¹(x) =
2 Jawaban
-
1. Jawaban Tusor
f(x) = √(x²+1)
y = √(x²+1)
y² = x² + 1
y² - 1 = x²
x² = y² - 1
x = √(y²-1)
f¹(x) = √( x² - 1) -
2. Jawaban nurliaopek
f'(x)=(x²+1)^1/2
= 1/2(x²+1)^-1/2 . 2x
= x(x²+1)^-1/2
= 1/(x(√x²+1)