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Derivative of:
Derivative of (-2)/x^3
Derivative of ln(x^2-4x)
Derivative of e^(3/x)
Derivative of (2*x+1)*(x^2+3*x-1)
Identical expressions
sqrtx1-x^ two
square root of x1 minus x squared
square root of x1 minus x to the power of two
√x1-x^2
sqrtx1-x2
sqrtx1-x²
sqrtx1-x to the power of 2
Similar expressions
sqrtx1+x^2
What you mean?
sqrt(x^1) - x^2

The derivative of the function/ sqrtx1-x^2

You entered:

sqrtx1-x^2

What you mean?

sqrt(x^1) - x^2

Derivative of sqrtx1-x^2

The solution

You have entered [src]

  ____    2
\/ x1  - x

$$- x^{2} + \sqrt{x_{1}}$$

d /  ____    2\
--\\/ x1  - x /
dx

$$\frac{\partial}{\partial x} \left(- x^{2} + \sqrt{x_{1}}\right)$$

Transform

Detail solution

Differentiate $- x^{2} + \sqrt{x_{1}}$ term by term:
1. The derivative of the constant $\sqrt{x_{1}}$ is zero.
2. 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: $- 2 x$
The result is: $- 2 x$

The answer is:

$- 2 x$

The first derivative [src]

-2*x

$$- 2 x$$

Simplify

The second derivative [src]

-2

$$-2$$

Simplify

The third derivative [src]

$$0$$

Simplify