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Mathematics 23 Online
OpenStudy (anonymous):

y=(x^2+x^3)

OpenStudy (anonymous):

this cannot be simplified any further. you have like bases, but youre adding with different exponents.

OpenStudy (anonymous):

oh ok the quesiton was find the derivative with respect to the variable x

OpenStudy (anonymous):

oh. ok.....y'=2x+3x^2

OpenStudy (anonymous):

oh cool thanks

OpenStudy (anonymous):

no problem

OpenStudy (anonymous):

i have any other one

OpenStudy (anonymous):

ok...

OpenStudy (anonymous):

y=1/sqrtx-1/5sqrtx^3

OpenStudy (anonymous):

y'=-1/2(x^(1/2))-3/10(x^(5/2))

OpenStudy (anonymous):

oh ic cool thanks on the first question I forgot to put the (....)^4 in that equation lol it supposed to be y=(x^2+x^3)^4

OpenStudy (anonymous):

so, then is 4(x^2+x^3)^3 times by my previous answer.

OpenStudy (anonymous):

this is chain rule

OpenStudy (anonymous):

ok now i have a quesiton if the exponet is on the outside is it applied to the inside values?

OpenStudy (anonymous):

well, it depends....typically for calculus, no. you would consider the exponent the outter most function and use chain rule. if two terms are being added (as in your problem) inside parenthesis raised to ane xponent...then you cannot distribute. if the two terms are being multiplied, then you can distribute

OpenStudy (anonymous):

oh ic thanks you are a big help thanks

OpenStudy (anonymous):

no problem!

OpenStudy (anonymous):

i have four more questions

OpenStudy (anonymous):

[y=x^{2}-x+2 / \sqrt{x}\]

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