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y=4x^3-2x^2+x-5

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Derivative of:
Derivative of y=(2x-5)^3
Derivative of e^(2t)cost+e^(2t)sint
Derivative of y=4x^3-2x^2+x-5
Derivative of x*e^(-x)
Identical expressions
y=4x^ three - two x^2+x- five
y equally 4x cubed minus 2x squared plus x minus 5
y equally 4x to the power of three minus two x squared plus x minus five
y=4x3-2x2+x-5
y=4x³-2x²+x-5
y=4x to the power of 3-2x to the power of 2+x-5
Similar expressions
y=4x^3+2x^2+x-5
y=4x^3-2x^2-x-5
y=4x^3-2x^2+x+5

The derivative of the function/ y=4x^3-2x^2+x-5

Derivative of y=4x^3-2x^2+x-5

The solution

You have entered [src]

   3      2        
4*x  - 2*x  + x - 5

$$4 x^{3} - 2 x^{2} + x - 5$$

d /   3      2        \
--\4*x  - 2*x  + x - 5/
dx

$$\frac{d}{d x} \left(4 x^{3} - 2 x^{2} + x - 5\right)$$

Transform

Detail solution

Differentiate $4 x^{3} - 2 x^{2} + x - 5$ term by term:
1. 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: $12 x^{2}$
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. Apply the power rule: $x$ goes to $1$
4. The derivative of the constant $\left(-1\right) 5$ is zero.
The result is: $12 x^{2} - 4 x + 1$

The answer is:

$12 x^{2} - 4 x + 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

              2
1 - 4*x + 12*x

$$12 x^{2} - 4 x + 1$$

Simplify

The second derivative [src]

4*(-1 + 6*x)

$$4 \cdot \left(6 x - 1\right)$$

Simplify

The third derivative [src]

$$24$$

Simplify

The graph

Derivative of y=4x^3-2x^2+x-5