Question on: JAMB Mathematics - 2015
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
\( x^2 + 3x + (2 ÷ (x + 3)^2) \)
Ask EduPadi AI for a detailed answer
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
= \( 6x^2 + 3x + 1 \)
= \( 12x^2 + 6x + 2 \)
⇒ \( 12x^2 + 6 + 2 \)
Divide both sides by 2
\( \frac{12x^2}{2} − \frac{6x}2 − \frac{2}{2} \)
= \( 6x^2 + 3x + 1 \)
dy/dx
= \( 6x^2 + 3x + 1 \)
Add your answer
Please share this, thanks!
No responses