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y=x^16+9/1-5x^2
The derivative of the function/ y=x^16+9/1-5x^2

Derivative of y=x^16+9/1-5x^2

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 16          2
x   + 9 - 5*x
$$- 5 x^{2} + \left(x^{16} + 9\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. Differentiate term by term:

      1. Apply the power rule: goes to

      2. The derivative of the constant is zero.

      The result is:

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
            15
-10*x + 16*x
$$16 x^{15} - 10 x$$
Simplify
The second derivative [src] 
   /         14\
10*\-1 + 24*x  /
$$10 \left(24 x^{14} - 1\right)$$
Simplify
The third derivative [src] 
      13
3360*x
$$3360 x^{13}$$
Simplify
The graph
Derivative of y=x^16+9/1-5x^2
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