How do you find the derivative of (x-3) /( 2x+1)x−32x+1? Calculus Basic Differentiation Rules Summary of Differentiation Rules 1 Answer Andrea S. Jun 16, 2018 d/dx ( (x-3)/(2x+1)) = 7/(2x+1)^2ddx(x−32x+1)=7(2x+1)2 Explanation: Using the quotient rule: d/dx ( (x-3)/(2x+1)) = ( (2x+1) d/dx (x-3) - (x-3)d/dx (2x+1))/(2x+1)^2ddx(x−32x+1)=(2x+1)ddx(x−3)−(x−3)ddx(2x+1)(2x+1)2 d/dx ( (x-3)/(2x+1)) = ( (2x+1) - 2(x-3))/(2x+1)^2ddx(x−32x+1)=(2x+1)−2(x−3)(2x+1)2 d/dx ( (x-3)/(2x+1)) = ( 2x+1- 2x+6)/(2x+1)^2ddx(x−32x+1)=2x+1−2x+6(2x+1)2 d/dx ( (x-3)/(2x+1)) = 7/(2x+1)^2ddx(x−32x+1)=7(2x+1)2 Answer link Related questions What is a summary of Differentiation Rules? What are the first three derivatives of (xcos(x)-sin(x))/(x^2)xcos(x)−sin(x)x2? How do you find the derivative of (e^(2x) - e^(-2x))/(e^(2x) + e^(-2x))e2x−e−2xe2x+e−2x? How do I find the derivative of y= x arctan (2x) - (ln (1+4x^2))/4y=xarctan(2x)−ln(1+4x2)4? How do you find the derivative of y = s/3 + 5sy=s3+5s? What is the second derivative of (f * g)(x)(f⋅g)(x) if f and g are functions such that f'(x)=g(x)... How do you calculate the derivative for g(t)= 7/sqrtt? Can you use a calculator to differentiate f(x) = 3x^2 + 12? What is the derivative of ln(x)+ 3 ln(x) + 5/7x +(2/x)? How do you find the formula for the derivative of 1/x? See all questions in Summary of Differentiation Rules Impact of this question 1941 views around the world You can reuse this answer Creative Commons License