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differentiate the following using product, quotient or the

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differentiate the following using product, quotient or the chain rule
e to the power of x.sinx

2x/2-x




ln(xto the power of2)
differentiate the following using product, quotient or the chain rule
d/dx(e^x.sinx)

= e^x d/dx(sinx) + sinx*d/dx(e^x)

= e^x cosx + sinx *e^x

= e^x(cosx + sinx)

Answer: e^x(cosx + sinx)

Note: e^x means e raised to power x.

d/dx(2x/2-x)

= ((2-x)*d/dx(2x) - 2x*d/dx(2-x))/(2-x)^2

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

= (4-2x+2x)/(2-x)^2

= 4/(2-x)^2

Answer: 4/(2-x)^2

Note: (2-x)^2 means (2-x) to the power 2

d/dx(ln(x^2))

= 1/x^2 *d/dx(x^2)

= 1/x^2 * 2x

= 2/x

Answer: 2/x

I hope it will help.

Thanks
Customer: replied 5 years ago.

which rule is used for each and have you put d/dx infrom of each question because i didnt do

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Customer: replied 5 years ago.
Thank you very much

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