MAT 2003 Question Paper

Instructions

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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