Question

If y=x2 + sinx, find dy/dx​

Answer 1

Explanation:

$\huge\underline{\underline{\sf ANSWER}} \\ y = {x}^{2} + \sin(x) \\ \frac{d}{dx} ( {x}^{2} + \sin(x) ) \\ 2x + \cos(x)$

Answer 2

Answer:

x

2

cos

(

x

)

+

2

x

sin

(

x

)

x2cos(x)+2xsin(x)

Reform the equation by setting the left side equal to the right side.

y

'

=

x

2

cos

(

x

)

+

2

x

sin

(

x

)

y′=x2cos(x)+2xsin(x)

Replace

y

'

y′ with

d

y

d

x

dydx.

d

y

d

x

=

x

2

cos

(

x

)

+

2

x

sin

(

x

)