Question

differentiate sin
$( {x}^{2} + x)$
​

Answer 1

Answer:

answer is (x=2+x

Step-by-step explanation:

Solution

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dx

d

(sin(x

2

+x))

We know that

dx

d

f(g(x))=f

′

(g(x))×g

′

(x)

⇒

dx

d

(sin(x

2

+x))=cos(x

2

+x)×

dx

d

(x

2

+x)

=cos(x

2

+x)×[

dx

d

x

2

+

dx

d

x]

=cos(x

2

+x)×[2x+1]

∴

dx

d

(sin(x

2

+x))=(2x+1)cos(x

2

+x)