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Derivative of:
Derivative of 4/x^3
Derivative of atan(sqrt(x))
Derivative of -3x
Derivative of 4x-5
Identical expressions
4x^ two -7x^ two - fifteen
4x squared minus 7x squared minus 15
4x to the power of two minus 7x to the power of two minus fifteen
4x2-7x2-15
4x²-7x²-15
4x to the power of 2-7x to the power of 2-15
Similar expressions
4x^2+7x^2-15
4x^2-7x^2+15

The derivative of the function/ 4x^2-7x^2-15

Derivative of 4x^2-7x^2-15

The solution

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   2      2     
4*x  - 7*x  - 15

$$- 7 x^{2} + 4 x^{2} - 15$$

d /   2      2     \
--\4*x  - 7*x  - 15/
dx

$$\frac{d}{d x} \left(- 7 x^{2} + 4 x^{2} - 15\right)$$

Transform

Detail solution

Differentiate $- 7 x^{2} + 4 x^{2} - 15$ 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 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: $x^{2}$ goes to $2 x$
    So, the result is: $14 x$
  So, the result is: $- 14 x$
3. The derivative of the constant $\left(-1\right) 15$ is zero.
The result is: $- 6 x$

The answer is:

$- 6 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-6*x

$$- 6 x$$

Simplify

The second derivative [src]

-6

$$-6$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of 4x^2-7x^2-15