Question Detail

MTH 102 Differentiation Objective Question
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Question

Differentiate \( y = (x^5 + 7x^2 + 2)^7 \).
Options
A \( 7(x^5 + 7x^2 + 2)^6 \cdot (5x^4 + 14x) \)
Correct Answer
B \( 7(x^5 + 7x^2 + 2)^6 \)
C \( (5x^4 + 14x)^7 \)
D 0
Correct Answer

Option A is the correct answer.

Detailed Explanation

Chain rule: derivative of ( u^7 ) is ( 7u^6 \cdot u' ).

Hint

Outer derivative times inner derivative.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 172 of 930
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