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Each question below has two statements, I and II. Mark your answer as:
Question 113
For a differential expression
I. $$\frac{d}{dx} (\sin^2 (3x)) = 2 \cos (3x)$$
II. $$\frac{d}{dx} (a^u) = a^u (\log a) \frac{du}{dx}$$
Solution
I. $$\frac{d}{dx}(sin^2(3x))=2 sin(3x)\times3=6 sin(3x)$$
Hence, first statement is not true.
II. $$\frac{d}{dx} (a^u) = a^u (\log a) \frac{du}{dx}$$
Hence, second statement is true.
=> Ans - (B)
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