Q. 215.0( 1 Vote )

Differentiate the

Answer :

Let, y = (2x2 – 3) sin x


We have to find dy/dx


As we can observe that y is a product of two functions say u and v where,


u = 2x2 – 3 and v = sin x


y = uv


As we know that to find the derivative of product of two function we apply product rule of differentiation.


By product rule, we have –


…equation 1


As, u = 2x2 – 3


…equation 2 { }


As, v = sin x


…equation 3 { }


from equation 1, we can find dy/dx



{using equation 2 & 3}


Hence,



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