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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/2x
ln(xto the power of2)
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Expert:
Sandhya
replied 4 years ago.
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/2x)
= ((2x)*d/dx(2x)  2x*d/dx(2x))/(2x)^2
= ((2x)*2  2x*(1))/(2x)^2
= (42x+2x)/(2x)^2
= 4/(2x)^2
Answer: 4/(2x)^2
Note: (2x)^2 means (2x) 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
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Customer:
replied 4 years ago.
which rule is used for each and have you put d/dx infrom of each question because i didnt do
Expert:
Sandhya
replied 4 years ago.
THIS ANSWER IS LOCKED!
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Customer:
replied 4 years ago.
Thank you very much
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