1.

Differentiate f(x) = tan (e^x)​

Answer»

Step-by-step explanation:

Given:

f

(

X

)

=

tan

(

e

x

)

Use the derivative RULES:

d

d

x

(

tan

x

)

=

sec

2

x

;

d

d

x

(

e

x

)

=

e

x

Using the chain RULE:

Let

u

=

e

x

;

u

'

=

e

x

f

(

u

)

=

tan

u

f

'

(

u

)

=

u

'

sec

2

u

f

'

(

x

)

=

e

x

sec

2

(

e

x

)


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