Question Detail

MTH 102 Differentiation Objective Question

Question

Differentiate \( y = x^6 - 7x^2 \) with respect to \( x \).
Options
A \( 6x^5 - 14x \)
Correct Answer
B \( 6x^5 - 14 \)
C \( x^5 - 7x \)
D \( 6x^6 - 7x^2 \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

( \frac{d}{dx}(x^6) = 6x^5 ) and ( \frac{d}{dx}(7x^2) = 14x ).

Hint

Use the power rule for each term.

Question Info