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NDA2018MathematicsDifferentiationActual

What is the derivative of the function f ( x )= e ^ x + ( x )- e ^ x at x = 4 ?

Options

  1. Ae 2
  2. Be
  3. C2e
  4. D4e

Correct answer

C. 2e

Step-by-step solution

aligned & f(x)=e^ x + ( x)-e^ x & f^ (x)=e^ x ^2 x+ 1 x x x-1 & ( e^ x =x and d d x (x)=1 ) & f^ ( 4 )=e^ 4 ^2 4 + 4 -1=2 e +1-1 & =2 e aligned

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