Given that y= x/(2x+5), find dy/dx
Is it integration or differentiation? Differentiation What rule do we use? Since it's a fraction, use the quotient rule Is the rule in the formula book? Yes Identify what u and v equal too. u = x and v = 2x + 5 Find du/dx and dv/dx. du/dx = 1 and dv/dx = 2 Find dy/dx by using the rule's formula. dy/dx = [(2x+5).1 - x.2] / (2x+5)^2 Simplify. dy/dx = 5/(2x+5)^2
SA
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