Use the rules for derivatives to find the derivative of each function defined as

Chesley

Chesley

Answered question

2021-10-12

Use the rules for derivatives to find the derivative of each function defined as follows.
y=xx+3x2x

Answer & Explanation

sweererlirumeX

sweererlirumeX

Skilled2021-10-13Added 91 answers

Step 1
To find the derivative of: y=xx+3x2x
solution:
y=xx+3x2x
On simplifying further, we get:
y=xx+3x2x
y=x32+3x52 (using, abac=ab+c)
y=x32+3x52 (using, 1an=an)
differentiating both sides w.r.t x we get:
ddx(y)=ddx(x32+3x52)
dydx=(32x321)+3(52x521) (using, ddx(xn)=nxn1)
dydx=32x152x72
dydx=32x152x3x
Step 2
Result:
dydx=32x152x3x

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