Question

The question below has two statements, I and Impark your answer as
For a differential expression
I. d/dx (sin2(3x)) = 2 cos (3x)
II. d/dx (au) = au (log a) du/dx

• A. Statement I is True, but not the other one.
• B. Statement II is True, but not the other one.
• C. Both the statements are True.
• D. Neither of the statements is True.

Answer 1

Answer: (B)

Statement II is True, but not the other one.

Answer 2

I. $\frac{d}{dx} \left( \sin^2(3x) \right) = 2\sin(3x) \times 3 = 6\sin(3x)$
In this case, The equation 1 is not True.
II. $\frac{d}{dx} \left( a^u \right) = a^u (\log a)^{\frac{du}{dx}}$
In this case, equation 2 is True
The correct option is (B)