We are given y=(x^2)+3x-5. Find the derivative of y in terms of x.
From the question we have, y=x2+3x-5
The rule of differentiation, is that you take the power on the x and bring it to the front, leaving the power-1 behind. In other words if you have xn then the derivative is (n)xn-1
The question asks for the derivative of y in terms of x so we are calculating dy/dx
Using the rule of differentiation we get,dy/dx= [(2)x2-1]+[(31)x1-1]-[(50)x0-1]dy/dx=2x+3
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Given that (2x + 11 )/(2x + 1)(x + 3) ≡ A /(2x + 1) + B /(x + 3) , find the values of the constants A and B. Hence show that the integral from 0 to 2 (2x + 11)/ (2x + 1)(x + 3) dx = ln 15.