Question
The derivative of e^ x^3 with respect to x is
BITSAT
Mathematics
Differentiation
2023
BITSAT 2023 (Memory Based Paper 1)
BITSAT Mathematics Question (2023) — Solution
Options
- A. e ^ x ^3
- B. 3 x ^2 2 e ^ x ^3
- C. 3 x ^3 e ^ x ^3
- D. 3 x ^3 e ^ x ^3 +3 x ^2
Answer
C. 3 x ^3 e ^ x ^3
Step-by-step solution
Let y= e ^ x ^3 , z = x On differentiating w.r.t.x, we get d y d x =e^ x^3 (3 x^2 )=3 x^2 e^ x^3 and d z d x = 1 x d y d z = d y d x d z d x = 3 x^2 e^ x^3 ( 1 x ) =3 x^3 e^ x^3
Related: Mathematics — Differentiation · All PYQ Banks