What is the derivative of x <mrow class="MJX-TeXAtom-ORD"> 2 </mrow> </msup>

jistefaftexia99kq6

jistefaftexia99kq6

Answered question

2022-05-07

What is the derivative of x 2  ln ( x )?

Answer & Explanation

Raelynn Parker

Raelynn Parker

Beginner2022-05-08Added 12 answers

Differentiate using the Product Rule which states that ddx[f(x)g(x)] is f(x)ddx[g(x)]+g(x)ddx[f(x)] where f(x)=x2 and g(x)=ln(x).

x2ddx[ln(x)]+ln(x)ddx[x2]

The derivative of ln(x) with respect to x is 1x.

x21x+ln(x)ddx[x2]

Differentiate using the Power Rule.

2xln(x)+x

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