F.5 MATHS

👨🏻‍🏫 學術台數學

Kyy010203

2010-10-02 7:28 pm

Find dy/dx for each of the following function.

y=[(x^4)-6)](3x-8)

回答 (2)

螞蟻雄兵

2010-10-02 7:34 pm

✔ 最佳答案

Find dy/dx for each of the followingfunction.
y=[(x^4)-6)](3x-8)Soly=(x^4－6)(3x-8)=3x^5－8x^4－18x+48dy/dx=d(3x^5－8x^4－18x+48)/dx=15x^4－32x^3－18

👍 0 👎 0

知識就是力量

2010-10-02 7:56 pm

y = (x^4 - 6)(3x - 8)
dy/dx
= (x^4 - 6)*3 + (3x-8)*4x^3 (By product rule)
= 3(x^4 - 6) + 4x^3 (3x-8)
= 3x^4 - 18 + 12x^4 - 32x^3
= 15x^4 - 32x^3 - 18

👍 0 👎 0