If y = (x2+3x?1)÷(3x+4). ( x 2 + 3 x ? 1 ) ..

Question 1 Report

If y = $(x^{2} + 3 x - 1) \div (3 x + 4) .$ Find dy/dx

(3 x^{2} + 8 x + 7) \div (3 x + 4)^{2}

x^{2} + 2 x + (1 \div (x + 1)^{2})

2 x^{2} + 4 x + (1 \div (2 x + 4)^{2})

x^{2} + 3 x + (2 \div (x + 3)^{2})

Answer Details

dy/dx $(4 x^{3} + 3 x^{2} + 2 x + 1)$
= $12 x^{2} + 6 x + 2$
⇒ $12 x^{2} + 6 + 2$
Divide both sides by 2
$\frac{12 x^{2}}{2} - \frac{6 x}{2} - \frac{2}{2}$
= $6 x^{2} + 3 x + 1$
dy/dx
= $6 x^{2} + 3 x + 1$

Read lesson note on Differentiation (JAMB)

Differentiation

View Answer

If y = (x2+3x?1)÷(3x+4). ( x 2 + 3 x ? 1 ) ÷ ( 3 x + 4 ) . Find dy/dx