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Derivative of:
Derivative of (x^5+1)
Derivative of x^3*cot(x)
Derivative of atan(3*x)
Derivative of 1/sin(y)
Graphing y =:
8-x^2
Integral of d{x}:
8-x^2
8-x^2
Identical expressions
eight -x^ two
8 minus x squared
eight minus x to the power of two
8-x2
8-x²
8-x to the power of 2
Similar expressions
8+x^2

The derivative of the function/ 8-x^2

Derivative of 8-x^2

The solution

You have entered [src]

     2
8 - x

8 - x^{2}

8 - x^2

Detail solution

Differentiate $8 - x^{2}$ term by term:
1. The derivative of the constant $8$ is zero.
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: $- 2 x$
The result is: $- 2 x$

The answer is:

- 2 x

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-2*x

- 2 x

Simplify

The second derivative [src]

-2

-2

Simplify

The third derivative [src]

0

Simplify