Yang f sama g gimana cara nya ya kak? share dong.

Yang f sama g gimana cara nya ya kak? share dong.

F. pakai aturan pembagian
$begin{array}{rcl}left(frac{u}{v}right)'&=&frac{u'v-uv'}{v^2}\u&=&7x^2+8\u'&=&14x\v&=&2x+5\v'&=&2\f'(x)&=&frac{(14x)(2x+5)-(7x^2+8)2}{(2x+5)^2}\&=&frac{28x^2+70x-14x^2-16}{(2x+5)^2}\&=&frac{14x^2+70x-16}{(2x+5)^2}end{array}$
g. pakai aturan perkalian dan aturan rantai
aturan rantai:
$begin{array}{rcl}frac{dy}{dx}&=&frac{dy}{du}frac{du}{dx}\u&=&3x+2\frac{du}{dx}&=&3\y&=&u^4\frac{dy}{du}&=&4u^3\&=&4(3x+2)^3\frac{dy}{dx}&=&4times (3x+2)^3 times 3\&=&12(3x+2)^3end{array}$

aturan perkalian:
$begin{array}{rcl}g(x)&=&wtimes y\g'(x)&=&w'y+wy'\w&=&2x\w'&=&2\g'(x)&=&2times (3x+2)^4+2xtimes 12(3x+2)^3\&=&(3x+2)^3left[2(3x+2)+24xright]\&=&(3x+2)^3(30x+6)end{array}$

Tolong di cek ulang, siapa tau ada yg salah:)

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