Engineering Board Exam Reviewer · Derivatives of Algebraic Functions · medium

Differentiate y=2x-1/x+3.

1. 7/(x+3)2
2. 2/(x+3)2
3. -7/(x+3)2
4. 1/(x+3)2

Answer

A. 7/(x+3)2

Solution

By the quotient rule: y'=2(x+3)-(2x-1)(1)/(x+3)2=7/(x+3)2.

More Derivatives of Algebraic Functions questions

1. Find the derivative of y=x3/x2+1.
2. Find y' if y=(x+1)(x-2)3.
3. Find the derivative of y=1/x3.
4. Differentiate y=sqrt(4x2+9).
5. Find y' if y=(x2-3)4(2x+1)2.
6. Find the slope of the tangent line to y=x2-4x+3 at x=3.
7. Find y' if y=5x4-3x2+7.
8. Find y' if y=(3x2+1)5.
9. Find y' if y=x2sqrt(x+1).

All Derivatives of Algebraic Functions questions