Math, asked by vishnuvardhan122080, 3 months ago

derivatives of x²+2x-1​

Answers

Answered by deepanshutibre67
0

Answer:

Enter a problem...

Calculus Examples

Popular Problems Calculus Find the Derivative f(x)=x^2+2x+1

f

(

x

)

=

x

2

+

2

x

+

1

Differentiate.

Tap for fewer steps...

By the Sum Rule, the derivative of

x

2

+

2

x

+

1

with respect to

x

is

d

d

x

[

x

2

]

+

d

d

x

[

2

x

]

+

d

d

x

[

1

]

.

d

d

x

[

x

2

]

+

d

d

x

[

2

x

]

+

d

d

x

[

1

]

Differentiate using the Power Rule which states that

d

d

x

[

x

n

]

is

n

x

n

1

where

n

=

2

.

2

x

+

d

d

x

[

2

x

]

+

d

d

x

[

1

]

Evaluate

d

d

x

[

2

x

]

.

Tap for fewer steps...

Since

2

is constant with respect to

x

, the derivative of

2

x

with respect to

x

is

2

d

d

x

[

x

]

.

2

x

+

2

d

d

x

[

x

]

+

d

d

x

[

1

]

Differentiate using the Power Rule which states that

d

d

x

[

x

n

]

is

n

x

n

1

where

n

=

1

.

2

x

+

2

1

+

d

d

x

[

1

]

Multiply

2

by

1

.

2

x

+

2

+

d

d

x

[

1

]

Differentiate using the Constant Rule.

Tap for fewer steps...

Since

1

is constant with respect to

x

, the derivative of

1

with respect to

x

is

0

.

2

x

+

2

+

0

Add

2

x

+

2

and

0

.

2

x

+

2

Step-by-step explanation:

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Answered by moumitaanay
1

Answer:

the answer is 2x + 2

Step-by-step explanation:

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