Question

If differentiation is represented by $d\left(\right)$, then $d\left(f\right(x)+g(x\left)\right)$ is

• A. $d\left(f\right(x\left)\right)+d\left(g\right(x\left)\right)$
• B. $d\left(f\right(x\left)\right)-d\left(g\right(x\left)\right)$
• C. $d\left(f\right(x\left)\right)\times d\left(g\right(x\left)\right)$
• D. $\frac{d\left(f\right(x\left)\right)}{d\left(g\right(x\left)\right)}$

Answer 1

The correct option is A $d\left(f\right(x\left)\right)+d\left(g\right(x\left)\right)$

$f\left(x\right)+g\left(x\right)$ is the sum of two functions $f\left(x\right)$ and $g\left(x\right)$.
So, $d\left(f\right(x)+g(x\left)\right)=d\left(f\right(x\left)\right)+d\left(g\right(x\left)\right)$