Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of x^3-2x^2-5
Derivative of y=x¹¹
Derivative of y=tg(2*x+4)
Derivative of y=sin^4(x)+cos^4(x)
Integral of d{x}:
x^3-2x^2-5
Identical expressions
x^ three - two x^2- five
x cubed minus 2x squared minus 5
x to the power of three minus two x squared minus five
x3-2x2-5
x³-2x²-5
x to the power of 3-2x to the power of 2-5
Similar expressions
x^3-2x^2+5
x^3+2x^2-5

The derivative of the function/ x^3-2x^2-5

Derivative of x^3-2x^2-5

The solution

You have entered [src]

 3      2    
x  - 2*x  - 5

$$x^{3} - 2 x^{2} - 5$$

d / 3      2    \
--\x  - 2*x  - 5/
dx

$$\frac{d}{d x} \left(x^{3} - 2 x^{2} - 5\right)$$

Transform

Detail solution

Differentiate $x^{3} - 2 x^{2} - 5$ 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. The derivative of a constant times a function is the constant times the derivative of the function.
    1. Apply the power rule: $x^{2}$ goes to $2 x$
    So, the result is: $4 x$
  So, the result is: $- 4 x$
3. The derivative of the constant $\left(-1\right) 5$ is zero.
The result is: $3 x^{2} - 4 x$
Now simplify:

$x \left(3 x - 4\right)$

The answer is:

$x \left(3 x - 4\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          2
-4*x + 3*x

$$3 x^{2} - 4 x$$

Simplify

The second derivative [src]

2*(-2 + 3*x)

$$2 \cdot \left(3 x - 2\right)$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of x^3-2x^2-5