Question
For the following two (02) items: Consider the function f(x) = cases 4(5^x), & x What is f'(-1) equal to?
NDA
Mathematics
Differentiation
2025
NDA 2025 (Phase 2)
NDA Mathematics Question (2025) — Solution
Options
- A. 2 5 5
- B. 3 5 5
- C. 4 5 5
- D. 20 5
Answer
C. 4 5 5
Step-by-step solution
For x Differentiating with respect to x, we get: f'(x) = 4(5^x 5) To find f'(-1), substitute x = -1 into the derivative: f'(-1) = 4(5^ -1 5) f'(-1) = 4 5 5 Answer: 4 5 5
Related: Mathematics — Differentiation · All PYQ Banks