TS EAMCET · Maths · Differentiation
If \(y=44 x^{45}+45 x^{-44}\), then \(y^{\prime \prime}=\)
- A \(\frac{1980 y}{x^2}\)
- B \(\frac{2020 x^2}{y}\)
- C \(\frac{2024 y}{x^2}\)
- D \(\frac{1990 x^2}{y}\)
Answer & Solution
Correct Answer
(A) \(\frac{1980 y}{x^2}\)
Step-by-step Solution
Detailed explanation
\(y=44 x^{45}+45 x^{-44} \Rightarrow y^{\prime}=44 \times 45\left(x^{44}-x^{-45}\right)\)…
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