Mister Exam

Other calculators


y=(x+3)^2

Derivative of y=(x+3)^2

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
       2
(x + 3) 
(x+3)2\left(x + 3\right)^{2}
d /       2\
--\(x + 3) /
dx          
ddx(x+3)2\frac{d}{d x} \left(x + 3\right)^{2}
Detail solution
  1. Let u=x+3u = x + 3.

  2. Apply the power rule: u2u^{2} goes to 2u2 u

  3. Then, apply the chain rule. Multiply by ddx(x+3)\frac{d}{d x} \left(x + 3\right):

    1. Differentiate x+3x + 3 term by term:

      1. Apply the power rule: xx goes to 11

      2. The derivative of the constant 33 is zero.

      The result is: 11

    The result of the chain rule is:

    2x+62 x + 6


The answer is:

2x+62 x + 6

The graph
02468-8-6-4-2-1010-200200
The first derivative [src]
6 + 2*x
2x+62 x + 6
The second derivative [src]
2
22
The third derivative [src]
0
00
The graph
Derivative of y=(x+3)^2