"Find the derivatives of the functions y=(x+2)x+2" was answered by students like you

Lennie Carroll

Answered question

2021-10-12

Find the derivatives of the functions y=(x+2)x+2

berggansS

Skilled2021-10-13Added 91 answers

Step 1
To find: derivative of the function y=(x+2)x+2.
Solution:
y=(x+2)x+2

\Rightarrow y = x^{2} + 2 x + 2

Differentiating both sides w.r.t we get:

\frac{d y}{d x} = \frac{d}{d x} (x^{2} + 2 x + 2)

\Rightarrow \frac{d y}{d x} = \frac{d}{d x} (x^{2}) + \frac{d}{d x} (2 x) + \frac{d}{d x} (2)

\Rightarrow \frac{d y}{d x} = 2 x + 2 + 0

(using

g \frac{d}{d x} (x^{n}) = n x^{n - 1}

, and derivative of constant t term = 0)

\Rightarrow \frac{d y}{d x} = 2 x + 2

.
Step 2
Result:
Derivative of the function

y = (x + 2) x + 2 = 2 x + 2

Jeffrey Jordon

Expert2022-08-30Added 2605 answers

Answer is given below (on video)

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