Mister Exam

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The derivative of the function/ x^3+x-1

Derivative of x^3+x-1

The solution

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 3        
x  + x - 1

$$\left(x^{3} + x\right) - 1$$

x^3 + x - 1

Detail solution

Differentiate $\left(x^{3} + x\right) - 1$ term by term:
1. Differentiate $x^{3} + x$ term by term:
  1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
  2. Apply the power rule: $x$ goes to $1$
  The result is: $3 x^{2} + 1$
2. The derivative of the constant $-1$ is zero.
The result is: $3 x^{2} + 1$

The answer is:

$3 x^{2} + 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

       2
1 + 3*x

$$3 x^{2} + 1$$

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify