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Derivative of log10x
Derivative of lnx^3
Derivative of 3x^4-2
Derivative of y=4x^3+3x^2
Graphing y =:
4x^3+3x^2
Integral of d{x}:
4x^3+3x^2
Identical expressions
y=4x^ three +3x^ two
y equally 4x cubed plus 3x squared
y equally 4x to the power of three plus 3x to the power of two
y=4x3+3x2
y=4x³+3x²
y=4x to the power of 3+3x to the power of 2
Similar expressions
y=4x^3-3x^2

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

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

The solution

You have entered [src]

   3      2
4*x  + 3*x

4 x^{3} + 3 x^{2}

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

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

Transform

Detail solution

Differentiate $4 x^{3} + 3 x^{2}$ 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. Apply the power rule: $x^{2}$ goes to $2 x$
  So, the result is: $6 x$
The result is: $12 x^{2} + 6 x$
Now simplify:

$6 x \left(2 x + 1\right)$

The answer is:

6 x \left(2 x + 1\right)

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          2
6*x + 12*x

12 x^{2} + 6 x

Simplify

The second derivative [src]

6*(1 + 4*x)

6 \cdot \left(4 x + 1\right)

Simplify

The third derivative [src]

24

Simplify

The graph

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