求导数 y=(x^2-5)^3+2(x^2-5)^2_数学解答

求导数 y=(x^2-5)^3+2(x^2-5)^2

人气：366 ℃　时间：2019-09-04 09:42:43

解答

y=(x²-5)³+2(x²-5)²
y'=[(x²-5)³]'+2[(x²-5)²]'
=3(x²-5)²×(x²-5)'+2×2(x²-5)'
=3(x²-5)²×2x+4×2x
=6x(x²-5)²+8x
=6x^5-60x³+158x