Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of sin(x/2)
Derivative of xlogx
Derivative of y=3x^2+3
Derivative of y=inx+8lgx
Integral of d{x}:
3x^2+3
Identical expressions
y= three x^ two +3
y equally 3x squared plus 3
y equally three x to the power of two plus 3
y=3x2+3
y=3x²+3
y=3x to the power of 2+3
Similar expressions
-4x^3+3x^2+36x-30
y=3x^2-3

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

Derivative of y=3x^2+3

The solution

You have entered [src]

   2    
3*x  + 3

$$3 x^{2} + 3$$

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

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

Transform

Detail solution

Differentiate $3 x^{2} + 3$ 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: $x^{2}$ goes to $2 x$
  So, the result is: $6 x$
2. The derivative of the constant $3$ is zero.
The result is: $6 x$

The answer is:

$6 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

6*x

$$6 x$$

Simplify

The second derivative [src]

$$6$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=3x^2+3