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Derivative of:
Derivative of sin(x)^2
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Derivative of √x
Graphing y =:
x^3+4x-5
Identical expressions
y=x^ three +4x- five
y equally x cubed plus 4x minus 5
y equally x to the power of three plus 4x minus five
y=x3+4x-5
y=x³+4x-5
y=x to the power of 3+4x-5
Similar expressions
y=x^3-4x-5
y=x^3+4x+5

The derivative of the function/ y=x^3+4x-5

Derivative of y=x^3+4x-5

The solution

You have entered [src]

 3          
x  + 4*x - 5

$$\left(x^{3} + 4 x\right) - 5$$

x^3 + 4*x - 5

Detail solution

Differentiate $\left(x^{3} + 4 x\right) - 5$ term by term:
1. Differentiate $x^{3} + 4 x$ term by term:
  1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
  2. 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: $4$
  The result is: $3 x^{2} + 4$
2. The derivative of the constant $-5$ is zero.
The result is: $3 x^{2} + 4$

The answer is:

$3 x^{2} + 4$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

       2
4 + 3*x

$$3 x^{2} + 4$$

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of y=x^3+4x-5