Question

if y=(x+1)² , then dy/dx =?​

Answer 1

Answer:

dy/dx = 2(x+1)

Step-by-step explanation:

that's all

Answer 2

Answer:

2x + 1

Step-by-step explanation:

y = (x + 1)²

dy/ dx = d/ dx (x+ 1)² . d/ dx(x + 1)

= (2x + 1). 1

= 2(x + 1)

Derivatives used :-

• d/ dx (x ^ n) = n x ^ (n - 1)

• d/ dx (ax) = a

• Chain Rule :- In case of composite functions, the derivative of the outermost function is multiplied with the derivatives of its components

For example,

here the outermost function was (x + 1)²

whose derivative is 2(x + 1)

this should be multiplied to the derivative of its component ( x + 1 )

and the derivative of (x + 1) is 1 so it doesn't make much difference.

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Hope this helps!