Question

find d/dx ( x × lx )​

Answer 1

Answer:

A fundamentally import calculus result is that

d

d

x

e

x

=

e

x

Let

y

=

ln

x

⇔

x

=

e

y

Differentiate wrt

y

d

x

d

y

=

e

y

(using above result)

∴

d

x

d

y

=

x

∴

d

y

d

x

=

1

x

(By the chain rule)

Explanation:

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