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Derivative of:
Derivative of 2/x
Derivative of -x^2
Derivative of 1/(1+x^2)
Derivative of sin^2x+cos^2x
Identical expressions
e^ two x^2+3x- four
e squared x squared plus 3x minus 4
e to the power of two x squared plus 3x minus four
e2x2+3x-4
e²x²+3x-4
e to the power of 2x to the power of 2+3x-4
Similar expressions
e^2x^2+3x+4
e^2x^2-3x-4
What you mean?
e^2*x^2 + 3*x - 1*4
e^((2*x)^2) + 3*x - 1*4
e^((2*x)^2) + 3*x - 1*4

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

You entered:

e^2x^2+3x-4

What you mean?

e^2*x^2 + 3*x - 1*4

e^((2*x)^2) + 3*x - 1*4

e^((2*x)^2) + 3*x - 1*4

Derivative of e^2x^2+3x-4

The solution

You have entered [src]

 2  2          
e *x  + 3*x - 4

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

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

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

Transform

Detail solution

Differentiate $x^{2} e^{2} + 3 x - 4$ 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: $2 x e^{2}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x$ goes to $1$
  So, the result is: $3$
3. The derivative of the constant $\left(-1\right) 4$ is zero.
The result is: $2 x e^{2} + 3$

The answer is:

$2 x e^{2} + 3$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         2
3 + 2*x*e

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

Simplify

The second derivative [src]

   2
2*e

$$2 e^{2}$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of e^2x^2+3x-4