Question Detail

MTH 102 Differentiation Objective Question
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Question

Find \( f'(x) \) if \( f(x) = x^4 + 2x^{5/2} \).
Options
A \( 4x^3 + 5x^{3/2} \)
Correct Answer
B \( 4x^3 + 10x^{3/2} \)
C \( x^3 + x^{3/2} \)
D \( 4x^3 + 5x \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

( 4x^3 + 2(5/2)x^{3/2} = 4x^3 + 5x^{3/2} ).

Hint

Apply the power rule to fractional exponents the same way as integers.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 194 of 930
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