COMEDK · Maths · 26. Differentiation
The derivative of \(\sin \left(x^{3}\right)\) w.r.t. \(\cos \left(x^{3}\right)\) is
- A \(-\tan \left(x^{3}\right)\)
- B \(\tan \left(x^{3}\right)\)
- C \(-\cot \left(x^{3}\right)\)
- D \(\cot \left(x^{3}\right)\)
Answer & Solution
Correct Answer
(C) \(-\cot \left(x^{3}\right)\)
Step-by-step Solution
Detailed explanation
Let \(u=\sin \left(x^{3}\right)\) and \(v=\cos \left(x^{3}\right)\) Then, \(\quad \frac{d u}{d x}=\cos \left(x^{3}\right) \cdot\left(3 x^{2}\right)\) and \(\quad \frac{d v}{d x}=-\sin \left(x^{3}\right)\left(3 x^{2}\right)\) Now,…
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