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Derivative of:
Derivative of x^(1/4)
Derivative of e^(5*x)
Derivative of x^2+x+1
Derivative of x^2*e^(-x)
Identical expressions
y=x^ five -x^ two : two + ten
y equally x to the power of 5 minus x squared :2 plus 10
y equally x to the power of five minus x to the power of two : two plus ten
y=x5-x2:2+10
y=x⁵-x²:2+10
y=x to the power of 5-x to the power of 2:2+10
Similar expressions
y=x^5+x^2:2+10
y=x^5-x^2:2-10
What you mean?
x^5 - x^2/2 + 10
x^5 - x^1 + 10
x^5 - x^(1 + 10)
x^5 - x^(2/(2 + 10))
(x^5 - x^2)/(2 + 10)
(x^5 - x^2)/2 + 10
x^5 - x^2/(2 + 10)

The derivative of the function/ y=x^5-x^2:2+10

You entered:

y=x^5-x^2:2+10

What you mean?

x^5 - x^2/2 + 10

x^5 - x^1 + 10

x^5 - x^(1 + 10)

x^5 - x^(2/(2 + 10))

(x^5 - x^2)/(2 + 10)

(x^5 - x^2)/2 + 10

x^5 - x^2/(2 + 10)

Derivative of y=x^5-x^2:2+10

The solution

You have entered [src]

      2     
 5   x      
x  - -- + 10
     2

$$x^{5} - \frac{x^{2}}{2} + 10$$

  /      2     \
d | 5   x      |
--|x  - -- + 10|
dx\     2      /

$$\frac{d}{d x} \left(x^{5} - \frac{x^{2}}{2} + 10\right)$$

Transform

Detail solution

Differentiate $x^{5} - \frac{x^{2}}{2} + 10$ term by term:
1. Apply the power rule: $x^{5}$ goes to $5 x^{4}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  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: $x$
  So, the result is: $- x$
3. The derivative of the constant $10$ is zero.
The result is: $5 x^{4} - x$

The answer is:

$5 x^{4} - x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

        4
-x + 5*x

$$5 x^{4} - x$$

Simplify

The second derivative [src]

         3
-1 + 20*x

$$20 x^{3} - 1$$

Simplify

The third derivative [src]

    2
60*x

$$60 x^{2}$$

Simplify

The graph

Derivative of y=x^5-x^2:2+10