Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

If y=2^(3x²+5), then dy/dx is
Options
A 6x(2^(3x²+5))
B (2^(3x²+5))ln2
C 6x(2^(3x²+5))ln2
Correct Answer
D 3x(2^(3x²+5))ln2
Correct Answer

Option C is the correct answer.

Detailed Explanation

Using d/dx[a^u]=a^u·ln(a)·u' with u=3x²+5, u'=6x: dy/dx=6x(2^(3x²+5))ln2.

Hint

Apply the exponential differentiation rule with u=3x²+5.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 914 of 930
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