Question

Select the correct answer from the given alternative:

If, f(x) = `x^50/50 + x^49/49 + x^48/48 + .... +x^2/2 + x + 1`, thef f'(1) =

Options

• 48

• 49

• 50

• 51

Answer 1

50

Explanation;

f'(x) = x⁴⁹ + x⁴⁸ + x⁴⁷ + .... + x + 1

∴ f'(1) = 1 + 1 + 1 + ... 50 times = 50