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Derivative of:
Derivative of y=5
Derivative of x^6-6x^10+12x
Derivative of log(1+e^x)
Derivative of e^((x^2)-x)
Sum of series:
f(x)
Integral of d{x}:
f(x)
f(x)
Graphing y =:
4x^2-5
Identical expressions
f(x)=4x^ two - five
f(x) equally 4x squared minus 5
f(x) equally 4x to the power of two minus five
f(x)=4x2-5
fx=4x2-5
f(x)=4x²-5
f(x)=4x to the power of 2-5
fx=4x^2-5
Similar expressions
f(x)=4x^2+5
y=(x^4+4)(x^2-5)

The derivative of the function/ f(x)=4x^2-5

Derivative of f(x)=4x^2-5

The solution

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   2    
4*x  - 5

$$4 x^{2} - 5$$

4*x^2 - 5

Detail solution

Differentiate $4 x^{2} - 5$ 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: $8 x$
2. The derivative of the constant $-5$ is zero.
The result is: $8 x$

The answer is:

$8 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

8*x

$$8 x$$

Simplify

The second derivative [src]

$$8$$

Simplify

The third derivative [src]

$$0$$

Simplify