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If f(x)=(x+5)ex. Calculate d/dx[f(x)]
2ex
-6ex
ex+(x+5)ex
If f(x)= sin x ex. Calculate d/dx[f(x)]
Cosxex + sinxex
cosxex-ex
cosx-cosxex
If f(x)=(x+1)3x. Calculate d/dx[f(x)]
2x
6x+3
6x+2
If f(x)=(x+4)7x. Calculate d/dx[f(x)]
2+3x
-6x+3
14x+28
If f(x)=x2 (x+1). Calculate d/dx[f(x)]
2x+2
3x2+2x
If f(x)=cosx lnx. Calculate d/dx[f(x)]
Sin2x
-sinxlnx-(cosx/x)
-sinx+(1/x)
If f(x)=cos x lnx. Calculate d/dx[f(x)]
sin2x
-sinx.lnx + (1/x) cosx
-sinx+ (1/x)
If g(x)=x2lnx. Calculate d/dx[g(x)]
2x lnx +x
2x+ 2lnx
2x+lnx
If g(x)=4x2 lnx. Calculate d/dx[g(x)]
8xlnx+4x
2xlnx+2
2x-(1/x)
If f(x)=cosx ex. Calculate d/dx[f(x)]
Cosx+ex
-sinxex+cosxex
-cosx
It is done.