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Derivative of:
Derivative of (x^2-1)/(x*3+1)
Derivative of -x^2
Derivative of 2*x
Derivative of log(cos(x))
Identical expressions
two x^ five -3x^2
2x to the power of 5 minus 3x squared
two x to the power of five minus 3x squared
2x5-3x2
2x⁵-3x²
2x to the power of 5-3x to the power of 2
Similar expressions
2x^5+3x^2

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

Derivative of 2x^5-3x^2

The solution

You have entered [src]

   5      2
2*x  - 3*x

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

d /   5      2\
--\2*x  - 3*x /
dx

$$\frac{d}{d x} \left(2 x^{5} - 3 x^{2}\right)$$

Transform

Detail solution

Differentiate $2 x^{5} - 3 x^{2}$ 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: $x^{5}$ goes to $5 x^{4}$
  So, the result is: $10 x^{4}$
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: $6 x$
  So, the result is: $- 6 x$
The result is: $10 x^{4} - 6 x$

The answer is:

$10 x^{4} - 6 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

           4
-6*x + 10*x

$$10 x^{4} - 6 x$$

Simplify

The second derivative [src]

  /         3\
2*\-3 + 20*x /

$$2 \cdot \left(20 x^{3} - 3\right)$$

Simplify

The third derivative [src]

     2
120*x

$$120 x^{2}$$

Simplify

The graph

Derivative of 2x^5-3x^2