- #1
Hollysmoke
- 185
- 0
Greetings. I was just wondering if someone could take a look and tell me I did the following correctly:
1)
y=8x^4-5x^2-2/4x^3
(32x^3-10x)(4x^3)-(12x^2)(8x^4-5x^2-2)/(4x^3)^2
128x^6-40x^4+96x^6-60x^4-24x^2/(4x^3)^2
224x^6-100x^4-24x/16x^6
4x(56x^5-25x^3-24)/16x^6
y’=56x^5-25x^3-24/4x^5
2) y=sqroot 5x - sqroot x/5
y=(5x)^1/2 - (x/5)^1/2
y'=1/2(5x)^-1/2 (5) -1/2(x/5)^-1/2 (1/5)
y'=2/5(5x)^-1/2 -1/10(x/5)^-1/2
y'=2/5sqroot(5x) - 1/10(sqroot x/5)
1)
y=8x^4-5x^2-2/4x^3
(32x^3-10x)(4x^3)-(12x^2)(8x^4-5x^2-2)/(4x^3)^2
128x^6-40x^4+96x^6-60x^4-24x^2/(4x^3)^2
224x^6-100x^4-24x/16x^6
4x(56x^5-25x^3-24)/16x^6
y’=56x^5-25x^3-24/4x^5
2) y=sqroot 5x - sqroot x/5
y=(5x)^1/2 - (x/5)^1/2
y'=1/2(5x)^-1/2 (5) -1/2(x/5)^-1/2 (1/5)
y'=2/5(5x)^-1/2 -1/10(x/5)^-1/2
y'=2/5sqroot(5x) - 1/10(sqroot x/5)
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