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Derivative of:
Derivative of -(x+1)/(4x+7)
Derivative of x^5+2x^4+3x^3+4x^2+5x+6
Derivative of y=4x^3+3x^2
Derivative of ln(3x+7)
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