Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of sqrt(2-x)
Derivative of ln(ln(x))
Derivative of log(x^2+5*sqrt(x)-3)
Derivative of sqrt(4)
Identical expressions
y=sqrt2-x^ three
y equally square root of 2 minus x cubed
y equally square root of 2 minus x to the power of three
y=√2-x^3
y=sqrt2-x3
y=sqrt2-x³
y=sqrt2-x to the power of 3
Similar expressions
y=sqrt2+x^3

The derivative of the function/ y=sqrt2-x^3

Derivative of y=sqrt2-x^3

The solution

You have entered [src]

  ___    3
\/ 2  - x

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

sqrt(2) - x^3

Detail solution

Differentiate $- x^{3} + \sqrt{2}$ term by term:
1. The derivative of the constant $\sqrt{2}$ 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: $x^{3}$ goes to $3 x^{2}$
  So, the result is: $- 3 x^{2}$
The result is: $- 3 x^{2}$

The answer is:

$- 3 x^{2}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

    2
-3*x

$$- 3 x^{2}$$

Simplify

The second derivative [src]

-6*x

$$- 6 x$$

Simplify

The third derivative [src]

-6

$$-6$$

Simplify

The graph

Derivative of y=sqrt2-x^3