Mister Exam

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The derivative of the function/ 3-sqrt2*x

Derivative of 3-sqrt2*x

The solution

You have entered [src]

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3 - \/ 2 *x

$$- \sqrt{2} x + 3$$

3 - sqrt(2)*x

Detail solution

Differentiate $- \sqrt{2} x + 3$ term by term:
1. The derivative of the constant $3$ is zero.
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x$ goes to $1$
  So, the result is: $- \sqrt{2}$
The result is: $- \sqrt{2}$

The answer is:

$- \sqrt{2}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

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-\/ 2

$$- \sqrt{2}$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify