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Identical expressions
y=x^ three -30x+ two
y equally x cubed minus 30x plus 2
y equally x to the power of three minus 30x plus two
y=x3-30x+2
y=x³-30x+2
y=x to the power of 3-30x+2
Similar expressions
y=x^3+30x+2
y=x^3-30x-2

The derivative of the function/ y=x^3-30x+2

Derivative of y=x^3-30x+2

The solution

You have entered [src]

 3           
x  - 30*x + 2

$$\left(x^{3} - 30 x\right) + 2$$

x^3 - 30*x + 2

Detail solution

Differentiate $\left(x^{3} - 30 x\right) + 2$ term by term:
1. Differentiate $x^{3} - 30 x$ term by term:
  1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
  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: $-30$
  The result is: $3 x^{2} - 30$
2. The derivative of the constant $2$ is zero.
The result is: $3 x^{2} - 30$

The answer is:

$3 x^{2} - 30$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         2
-30 + 3*x

$$3 x^{2} - 30$$

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of y=x^3-30x+2