If y x 2 3x 1 3x 4 Find dy dx - JAMB Mathematics 2015 Question
If y = ((x^2 + 3x − 1) ÷ (3x + 4).) Find dy/dx
A
\( (3x^2 + 8x + 7) ÷ (3x + 4)^2 \)
B
\( x^2 + 2x + (1 ÷ (x + 1)^2) \)
C
\( 2x^2 + 4x + (1 ÷ (2x + 4)^2) \)
D
\( x^2 + 3x + (2 ÷ (x + 3)^2) \)
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Correct Option: A
dy/dx ( (4x^3 + 3x^2 + 2x + 1) )
= ( 12x^2 + 6x + 2 )
⇒ ( 12x^2 + 6 + 2 )
Divide both sides by 2
( \frac{12x^2}{2} − \frac{6x}2 − \frac{2}{2} )
= ( 6x^2 + 3x + 1 )
dy/dx
= ( 6x^2 + 3x + 1 )
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