Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of x*asin(x)
Derivative of 2*sin(x)*cos(x)
Derivative of -5
Derivative of x^3-3x^2
Identical expressions
y=-x^ two -8x- seven
y equally minus x squared minus 8x minus 7
y equally minus x to the power of two minus 8x minus seven
y=-x2-8x-7
y=-x²-8x-7
y=-x to the power of 2-8x-7
Similar expressions
y=-x^2-8x+7
y=+x^2-8x-7
y=-x^2+8x-7

The derivative of the function/ y=-x^2-8x-7

Derivative of y=-x^2-8x-7

The solution

You have entered [src]

   2          
- x  - 8*x - 7

$$- x^{2} - 8 x - 7$$

d /   2          \
--\- x  - 8*x - 7/
dx

$$\frac{d}{d x} \left(- x^{2} - 8 x - 7\right)$$

Transform

Detail solution

Differentiate $- x^{2} - 8 x - 7$ 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: $x^{2}$ goes to $2 x$
  So, the result is: $- 2 x$
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: $x$ goes to $1$
    So, the result is: $8$
  So, the result is: $-8$
3. The derivative of the constant $\left(-1\right) 7$ is zero.
The result is: $- 2 x - 8$

The answer is:

$- 2 x - 8$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-8 - 2*x

$$- 2 x - 8$$

Simplify

The second derivative [src]

-2

$$-2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=-x^2-8x-7