Mister Exam

Lang:

Other calculators

y(x)=x^7-4x^6-3

How to use it?
Derivative of:
Derivative of log(x)
Derivative of x+1
Derivative of x-2
Derivative of e
Integral of d{x}:
y(x)
y(x)
Identical expressions
y(x)=x^ seven -4x^ six - three
y(x) equally x to the power of 7 minus 4x to the power of 6 minus 3
y(x) equally x to the power of seven minus 4x to the power of six minus three
y(x)=x7-4x6-3
yx=x7-4x6-3
y(x)=x⁷-4x⁶-3
yx=x^7-4x^6-3
Similar expressions
y(x)=x^7+4x^6-3
y(x)=x^7-4x^6+3

The derivative of the function/ y(x)=x^7-4x^6-3

Derivative of y(x)=x^7-4x^6-3

The solution

You have entered [src]

 7      6    
x  - 4*x  - 3

$$\left(x^{7} - 4 x^{6}\right) - 3$$

Transform

Detail solution

Differentiate $\left(x^{7} - 4 x^{6}\right) - 3$ term by term:
1. Differentiate $x^{7} - 4 x^{6}$ term by term:
  1. Apply the power rule: $x^{7}$ goes to $7 x^{6}$
  2. The derivative of a constant times a function is the constant times the derivative of the function.
    1. Apply the power rule: $x^{6}$ goes to $6 x^{5}$
    So, the result is: $- 24 x^{5}$
  The result is: $7 x^{6} - 24 x^{5}$
2. The derivative of the constant $-3$ is zero.
The result is: $7 x^{6} - 24 x^{5}$
Now simplify:

$x^{5} \left(7 x - 24\right)$

The answer is:

$x^{5} \left(7 x - 24\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

      5      6
- 24*x  + 7*x

$$7 x^{6} - 24 x^{5}$$

Simplify

The second derivative [src]

   4            
6*x *(-20 + 7*x)

$$6 x^{4} \left(7 x - 20\right)$$

Simplify

The third derivative [src]

    3            
30*x *(-16 + 7*x)

$$30 x^{3} \left(7 x - 16\right)$$

Simplify

The graph

Derivative of y(x)=x^7-4x^6-3