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

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

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 4      3          
x  - 2*x  + 3*x + 4
$$x^{4} - 2 x^{3} + 3 x + 4$$ 
d / 4      3          \
--\x  - 2*x  + 3*x + 4/
dx
$$\frac{d}{d x} \left(x^{4} - 2 x^{3} + 3 x + 4\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    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: goes to

        So, the result is:

      So, the result is:

    3. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    4. The derivative of the constant is zero.

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
       2      3
3 - 6*x  + 4*x
$$4 x^{3} - 6 x^{2} + 3$$
Simplify
The second derivative [src] 
12*x*(-1 + x)
$$12 x \left(x - 1\right)$$
Simplify
The third derivative [src] 
12*(-1 + 2*x)
$$12 \cdot \left(2 x - 1\right)$$
Simplify
The graph
Derivative of y=x^4-2x^3+3x+4
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