Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

Find the derivative of y = 7^(4x+2) with respect to x
Options
A 4(7^(4x+2))log_e7
Correct Answer
B (7^(4x+2))log_e7
C 4(7^(4x+2))
D 4log_e7
Correct Answer

Option A is the correct answer.

Detailed Explanation

For y=a^u, dy/dx=a^u·ln(a)·u'. Here u=4x+2, u'=4, so dy/dx=4(7^(4x+2))ln7.

Hint

Use the general rule d/dx[a^u]=a^u·ln(a)·(du/dx).

Question Info