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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Differentiating Functions of Others Bases In Exercises 35-44, find the derivative of the function.

y = x 2 x

To determine

To calculate: The derivative of the function y=x2x.

Explanation

Given information:

The provided function is y=x2x.

Formula used:

Let a be a positive real number (a1) then ddx(ax)=(lna)ax.

Product rule of derivative of differentiable functions, f(x) and g(x) is:

ddx[f(x)g(x)]=f(x)g(x)+f(x)g(x).

The derivative of function f(x)=un using the power rule is,

ddx(un)=nun1dudx

Where, u is the function of x

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