Math, asked by Genevieveofficial, 3 months ago

if y=x²sinx, then dy/dx will be

Answers

Answered by abanerjee1456
1

Answer:

y=x²sinx

differentiation with respect to x

dy/dx = d(x²)/dx * sinx + d(sinx)/dx * x²

= 2xsinx + x²cosx

Answered by samarendradas6969
54

Answer:

hello,

  • we have given,

y = x²sinx

  • we have to find dy/dx

so,

dy/dx = d/dx (x²sinx)

  • by useing formula dy/dx =

dy/dx = x² d/dx(sinx) + sinx d/dx(x²))

  • by useing the formula of dy/dx of sinx & X²

=>dy/dx=x² cosx + sinx 2x²-¹

=> dy/dx = x²cosx + sinx2x

hope i help u☺️

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