Question

桃音

(7)の解き方をお願いします

f'(f¹(y))
(a)-(AS
演習問題 5.1.6. 次の関数を微分せよ.
(1) x4+3x5/2
1
1
(2)
2x2
2x3
(3) x√x
(4) (2x-1)400.
1
(5)
5/3x+4
(6)) (2x
(7)(x+1)√1-x².
(10) sin¹0 x.
(8) sin x 3 cos(2x).
1
(11) tan-
X
-
(9) sin
tar
(12)
(13) (Cos-1x)5.
(14) Sin
-1 x
(15)
2
1-5

Answer 1

✨ Best Answer ✨

あ

f(x)=p(x)q(x)のとき
f'(x)=p'(x)q(x)+p(x)q'(x)

f(x)=(x+1)√(1-x²)
f'(x)=√(1-x²)+(x+1)×{-2x/2√(1-x²)}
=√(1-x²)+(x+1)×{-x/√(1-x²)}
=√(1-x²)-{x(x+1)/√(1-x²)}