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Derivative of:
Derivative of x^e^x
Derivative of e^x*x
Derivative of e^(x-1)
Derivative of cot(1/x)
Integral of d{x}:
x^5-3x^2
Identical expressions
x^ five -3x^ two
x to the power of 5 minus 3x squared
x to the power of five minus 3x to the power of two
x5-3x2
x⁵-3x²
x to the power of 5-3x to the power of 2
Similar expressions
y=x^5-3*x^2+7
x^5+3x^2

The derivative of the function/ x^5-3x^2

Derivative of x^5-3x^2

The solution

You have entered [src]

 5      2
x  - 3*x

$$x^{5} - 3 x^{2}$$

x^5 - 3*x^2

Detail solution

Differentiate $x^{5} - 3 x^{2}$ 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. Apply the power rule: $x^{2}$ goes to $2 x$
  So, the result is: $- 6 x$
The result is: $5 x^{4} - 6 x$
Now simplify:

$x \left(5 x^{3} - 6\right)$

The answer is:

$x \left(5 x^{3} - 6\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          4
-6*x + 5*x

$$5 x^{4} - 6 x$$

Simplify

The second derivative [src]

  /         3\
2*\-3 + 10*x /

$$2 \left(10 x^{3} - 3\right)$$

Simplify

3-я производная [src]

    2
60*x

$$60 x^{2}$$

Simplify

The third derivative [src]

    2
60*x

$$60 x^{2}$$

Simplify