Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

Differentiate log₁₀(y)=5x+1 with respect to x (i.e. find dy/dx)
Options
A 2(10^(5x+1))log_e10
B 10^(5x+1)log_e10
C 5(10^(5x+1))log_e10
Correct Answer
D 5(10^(5x+1))
Correct Answer

Option C is the correct answer.

Detailed Explanation

From log₁₀y=5x+1, y=10^(5x+1). Differentiating: dy/dx=10^(5x+1)·ln10·5 = 5(10^(5x+1))ln10.

Hint

Convert the log equation to exponential form first, then differentiate using the a^u rule.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 878 of 930
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