turunan


Carilah turunan di bawah ini!!!

RUMUS 1

y=a x^n \rightarrow y'=an x^n-1

Contoh:

f(x)=3x^{4}

f'(x)=12x^{3}

RUMUS 2

y = u.v\rightarrow {y'=(u'.v)+(v'.u)}

Contoh:

f(x)=(x^{2}-5x).(x^{3}+5)

Jawaban saya coba buat urut agar mudah dimengerti

u'=u(x)=(2x-5)

v'=v'(x)=(3x^2)

y = uv\rightarrow {y'=(u'.v)+(v'.u)}

f'(x)=(2x-5)(x^3+5)+(3x^2)(x^2-5x)

f'(x)=2x^2+10x-15x^3-25+3x^4-15x^3

f'(x)=3x^4+2x^4-15x^3-5x^3+10x-25

f'(x)=5x^4-20x^3+10x-25

f'(x)=5x^4-20x^3+10x-25

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