JAMIA 2025 — Mathematics PYQ
JAMIA | Mathematics | 2025The second derivative of x3 is:
Choose the correct answer:
- A.
6x
(Correct Answer) - B.
3x2
- C.
x2
- D.
None of these
6x
Explanation
Mathematical Solution:
Given function:
f(x)=x3
Pehla Derivative (First Derivative):
Power rule (dxdxn=nxn−1) ka upyog karke:
dxd(x3)=3x2
Doosra Derivative (Second Derivative):
Ab pehle derivative ka fir se differentiation karte hain:
dx2d2(x3)=dxd(3x2)
dx2d2(x3)=3×2x
dx2d2(x3)=6x
Final Answer:
The second derivative of x3 is:
dx2d2y=6x
Explanation
Mathematical Solution:
Given function:
f(x)=x3
Pehla Derivative (First Derivative):
Power rule (dxdxn=nxn−1) ka upyog karke:
dxd(x3)=3x2
Doosra Derivative (Second Derivative):
Ab pehle derivative ka fir se differentiation karte hain:
dx2d2(x3)=dxd(3x2)
dx2d2(x3)=3×2x
dx2d2(x3)=6x
Final Answer:
The second derivative of x3 is:
dx2d2y=6x

