AP EAMCET · Maths · Differentiation
If \(f(x)=\sin x+\cos x\), then \(f\left(\frac{\pi}{4}\right) f^{(i v)}\left(\frac{\pi}{4}\right)\) is equal to
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\(f(x)=\sin x+\cos x\) \(f^{\prime}(x)=\cos x-\sin x\) \(f^{\prime \prime}(x)=-\sin x-\cos x\) \(f^{\prime \prime \prime}(x)=-\cos x+\sin x\) \(f^{\prime \prime \prime \prime}(x)=\sin x+\cos x\) So,…
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