Question Statement:
The nth derivative of the function 1
3y x= +
is
Options:
-
(A) 1
(1 ) !
(3 )
n
n
n
x +
-
+
-
(B) 1
1
(1 ) !
(3 )
n
n
n
x
+
+
-
+
-
(C) (1 ) ( 1 ) !
(3 )
n
n
n
x
- +
+
-
(D) (1 ) !
(3 )
n
n
n
x
-
+
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2012 Q.31)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Structural Mechanics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.
Launch CBT Mock Test