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  • Differentiate sin(x^2+1) with respect to x .

Differentiate sin(x^2+1) with respect to x .

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Solution:  We have , 

                  fracmathrmd sin(x^2+1) mathrmd x=fracmathrmd sin(x^2+1)mathrmd (x^2+1) imesfracmathrmd (x^2+1)mathrmd x

Rightarrow           fracmathrmd sin(x^2+1)mathrmd x=[cos(x^2+1)] imes2x                                              [ecause fracmathrmd sin(x^2+1)mathrmd (x^2+1)=cos(x^2+1)]

Rightarrow          fracmathrmd sin(x^2+1)mathrmd x=2x imes cos(x^2+1).

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Deependra Verma

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