Question

differentiate............

Answer 1

Heya......!!!!

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1.) x^3 Sinx

→ d/dx (x^3 Sinx )

=> Sinx × d/dx ( x^3 ) + x^3 × d/dx ( Sinx )


➡ ( Sinx × 3x^2 ) + ( x^3 × cosx ) is the final answer .

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Hope it helps you ☺☺

Answer 2

(ii) by quotient rule

f(x)=(x+1) d/dx(2x-1)-(2x-1) d/dx(x+1)/(x+1)^2

=(x+1)*2-(2x-1)/(x+1)^2

=2x+2-2x+1/(x+1)^2
   =3/(x+1)^