If the slope of the tangent drawn at any point $(x, y)$ on a curve is $(x+y)$, then the equation of that curve is

• A

  $y=c e^x+1+x$
• B

  $y=c e^x-x$
• C

  $\mathrm{y}=\mathrm{ce}^{-\mathrm{x}}-1-\mathrm{x}$
• Correct answer
  D

  $\mathrm{y}=\mathrm{ce}^{\mathrm{x}}-1-\mathrm{x}$

Hence, the correct answer is option: 'D'.