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MATHEMATICS · Multi-part · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let f(x)=(2x+5)tan⁡3xf(x)=\bigl(2x+5\bigr)\tan 3x. Answer the following: (i) Find f′(x)f'(x). (ii) Evaluate f′(π6)f'\bigl(\tfrac{\pi}{6}\bigr). (iii) Show that f′(x+π)=f′(x)f'(x+\pi)=f'(x) for all real xx. What does this tell you about the period of f′(x)f'(x)?

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