Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of cos(x/3)
Derivative of √x
Derivative of xcos(x)
Derivative of (x-4)
Integral of d{x}:
y(x)
y(x)
Identical expressions
y(x)=e^x-4x^ two
y(x) equally e to the power of x minus 4x squared
y(x) equally e to the power of x minus 4x to the power of two
y(x)=ex-4x2
yx=ex-4x2
y(x)=e^x-4x²
y(x)=e to the power of x-4x to the power of 2
yx=e^x-4x^2
Similar expressions
y(x)=e^x+4x^2

The derivative of the function/ y(x)=e^x-4x^2

Derivative of y(x)=e^x-4x^2

The solution

You have entered [src]

 x      2
E  - 4*x

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

E^x - 4*x^2

Detail solution

Differentiate $e^{x} - 4 x^{2}$ term by term:
1. The derivative of $e^{x}$ is itself.
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: $- 8 x$
The result is: $- 8 x + e^{x}$

The answer is:

$- 8 x + e^{x}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

 x      
E  - 8*x

$$e^{x} - 8 x$$

Simplify

The second derivative [src]

      x
-8 + e

$$e^{x} - 8$$

Simplify

The third derivative [src]

x
E

$$e^{x}$$

Simplify

The graph

Derivative of y(x)=e^x-4x^2