Pertanyaan

Jika y = ( 3 x + 1 ) 4 ,carilah nilai d x d y kemudian tentukan ∫ ( 3 x + 1 ) 3 d x .

Jika $y = (3 x + 1)^{4}$ , carilah nilai $\frac{d y}{d x}$ kemudian tentukan $\int (3 x + 1)^{3} d x$ .

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

Jika Maka

Jika

$begin mathsize 14px style y equals open parentheses 3 x plus 1 close parentheses to the power of 4 m i s a l u equals 3 x plus 1 fraction numerator d u over denominator d x end fraction equals 3 s e h i n g g a y equals u to the power of 4 fraction numerator d y over denominator d u end fraction equals 4 u cubed y apostrophe equals fraction numerator d y over denominator d x end fraction fraction numerator d y over denominator d x end fraction equals fraction numerator d y over denominator d u end fraction times fraction numerator d u over denominator d x end fraction y apostrophe equals 4 u cubed times 3 y apostrophe equals 12 u cubed y apostrophe equals 12 left parenthesis 3 x plus 1 right parenthesis cubed end style$

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