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Sum of series:
f(x)
Integral of d{x}:
f(x)
f(x)
Identical expressions
f(x)=-5x^ two +x+ one
f(x) equally minus 5x squared plus x plus 1
f(x) equally minus 5x to the power of two plus x plus one
f(x)=-5x2+x+1
fx=-5x2+x+1
f(x)=-5x²+x+1
f(x)=-5x to the power of 2+x+1
fx=-5x^2+x+1
Similar expressions
f(x)=-5x^2+x-1
f(x)=+5x^2+x+1
f(x)=-5x^2-x+1

The derivative of the function/ f(x)=-5x^2+x+1

Derivative of f(x)=-5x^2+x+1

The solution

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     2        
- 5*x  + x + 1

$$\left(- 5 x^{2} + x\right) + 1$$

-5*x^2 + x + 1

Detail solution

Differentiate $\left(- 5 x^{2} + x\right) + 1$ term by term:
1. Differentiate $- 5 x^{2} + x$ 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: $- 10 x$
  2. Apply the power rule: $x$ goes to $1$
  The result is: $1 - 10 x$
2. The derivative of the constant $1$ is zero.
The result is: $1 - 10 x$

The answer is:

$1 - 10 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

1 - 10*x

$$1 - 10 x$$

Simplify

The second derivative [src]

-10

$$-10$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of f(x)=-5x^2+x+1