Math, asked by waleedahmed59, 2 months ago

what is the derivative of f(x) = xCOSx​

Answers

Answered by liberty29
0

Answer:

y

=

x

cos

x

Take the natural logarithm of both sides.

ln

y

=

ln

(

x

cos

x

)

Use the logarithm law for powers, which states that

log

a

n

=

n

log

a

ln

y

=

cos

x

ln

x

Use the product rule to differentiate the right hand side.

d

d

x

(

cos

x

)

=

sin

x

and

d

d

x

(

ln

x

)

.

1

y

(

d

y

d

x

)

=

sin

x

(

ln

x

)

+

cos

x

(

1

x

)

1

y

(

d

y

d

x

)

=

sin

x

ln

x

+

cos

x

x

d

y

d

x

=

sin

x

ln

x

+

cos

x

x

1

y

d

y

d

x

=

x

cos

x

(

sin

x

ln

x

+

cos

x

x

)

Hopefully this helps!

Answered by araj80259
0

Step-by-step explanation:

d(xcosx)/dx = x*(cosx)/dx + cosx[d(x)/dx]

= -xsinx + cosx

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