Mister Exam

Derivative of y=sqrt(4)x+1

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
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\/ 4 *x + 1
4x+1\sqrt{4} x + 1
sqrt(4)*x + 1
Detail solution
  1. Differentiate 4x+1\sqrt{4} x + 1 term by term:

    1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: xx goes to 11

      So, the result is: 4\sqrt{4}

    2. The derivative of the constant 11 is zero.

    The result is: 4\sqrt{4}

  2. Now simplify:

    22


The answer is:

22

The graph
02468-8-6-4-2-1010-5050
The first derivative [src]
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\/ 4 
4\sqrt{4}
The second derivative [src]
0
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The third derivative [src]
0
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The graph
Derivative of y=sqrt(4)x+1