If y=x^ 3 +5 x^ - 1 2 -3 x^ -2 , then find the the value of d y d x .
Physics · NEET · NTA Exams — Basic Mathematics for Physics
If \(y=x^{3}+5 x^{-\frac{1}{2}}-3 x^{-2}\), then find the the value of \(\frac{d y}{d x}\).
- \(3 x^{2}-\frac{5}{2 x^{3 / 2}}+\frac{6}{x^{3}}\)
- \(4 x^{2}-\frac{5}{2 \sqrt{x}}+\frac{6}{x^{3}}\)
- \(3 x^{2}-\frac{5}{2 x \sqrt{x}}+6 x^{3}\)
- \(4 x^{2}-\frac{5}{2 x^{3 / 2}}+\frac{6}{x^{3}}\)
Answer
(A) 3 x^ 2 - 5 2 x^ 3 / 2 + 6 x^ 3
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