Given that d dx f(x) = f ,'(x). The relationship f ,'(a + b) = f … - Vidyadip

MCQ

Given that ${d \over {dx}}f(x) = f\,'(x)$. The relationship $f\,'(a + b) = f\,'(a) + f\,'(b)$ is valid if $f(x)$ is equal to

A
$x$
✓
${x^2}$
C
${x^3}$
D
${x^4}$

✓

Answer

Correct option: B.

${x^2}$

b
(b) Trick: By option$(b)$, $2(a + b) = 2a + 2b$.

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