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Derivative of:
Derivative of e^(5*x)
Derivative of x/lnx
Derivative of e^x*x^3
Derivative of e^(2*cos(t)^(2)-2*sin(t)^(2))
Sum of series:
f(x)
Integral of d{x}:
f(x)
f(x)
Graphing y =:
5x^2-1
Identical expressions
f(x)=5x^ two - one
f(x) equally 5x squared minus 1
f(x) equally 5x to the power of two minus one
f(x)=5x2-1
fx=5x2-1
f(x)=5x²-1
f(x)=5x to the power of 2-1
fx=5x^2-1
Similar expressions
y=log(2)^4ln(5x^2-1)
f*(x)
f(x)=5x^2+1

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

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

The solution

You have entered [src]

   2    
5*x  - 1

$$5 x^{2} - 1$$

d /   2    \
--\5*x  - 1/
dx

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

Transform

Detail solution

Differentiate $5 x^{2} - 1$ 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. The derivative of the constant $\left(-1\right) 1$ is zero.
The result is: $10 x$

The answer is:

$10 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

10*x

$$10 x$$

Simplify

The second derivative [src]

$$10$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

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