Find d y d x , if y= (x^ 3 -3 x^ 2 +5 ) (4 x^ 5 +x^ 2 -2 )

Physics · NEET · NTA ExamsBasic Mathematics for Physics

Find \(\frac{d y}{d x}\), if \(y=\left(x^{3}-3 x^{2}+5\right)\left(4 x^{5}+x^{2}-2\right)\)
  1. \(2 x\left(10 x^{2}+1\right)\left(x^{3}-3 x^{2}+5\right)+3 x^{2}(x-2)\left(4 x^{5}+x^{2}-2\right)\) 
  2. \(7 x^{2}\left(10 x^{2}+1\right)\left(x^{3}-3 x^{2}+5\right)+3 x(x-2)\left(4 x^{5}-x^{2}+2\right)\) 
  3. \(7 x^{2}\left(10 x^{3}+1\right)\left(x^{3}-3 x^{2}-5\right)+3 x(x-2)\left(4 x^{5}+x^{2}-2\right)\) 
  4. \(2 x\left(10 x^{3}+1\right)\left(x^{3}-3 x^{2}+5\right)+3 x(x-2)\left(4 x^{5}+x^{2}-2\right)\) 

Answer

(D) 2 x (10 x^ 3 +1 ) (x^ 3 -3 x^ 2 +5 )+3 x(x-2) (4 x^ 5 +x^ 2 -2 )

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