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NDA2025MathematicsDifferentiationActual

For the following two (02) items: Consider the function f(x) = cases 4(5^x), & x What is f'(-1) equal to?

Options

  1. A2 5 5
  2. B3 5 5
  3. C4 5 5
  4. D20 5

Correct 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

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