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y=sqrt1+sqrtx^2

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Derivative of:
Derivative of tanh(x)
Derivative of tanx
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Derivative of 1-e^(-x)
Identical expressions
y=sqrt1+sqrtx^ two
y equally square root of 1 plus square root of x squared
y equally square root of 1 plus square root of x to the power of two
y=√1+√x^2
y=sqrt1+sqrtx2
y=sqrt1+sqrtx²
y=sqrt1+sqrtx to the power of 2
Similar expressions
y=sqrt1-sqrtx^2

The derivative of the function/ y=sqrt1+sqrtx^2

Derivative of y=sqrt1+sqrtx^2

The solution

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             2
  ___     ___ 
\/ 1  + \/ x

$$\left(\sqrt{x}\right)^{2} + \sqrt{1}$$

sqrt(1) + (sqrt(x))^2

Detail solution

Differentiate $\left(\sqrt{x}\right)^{2} + \sqrt{1}$ term by term:
1. The derivative of the constant $\sqrt{1}$ is zero.
2. Let $u = \sqrt{x}$ .
3. Apply the power rule: $u^{2}$ goes to $2 u$
4. Then, apply the chain rule. Multiply by $\frac{d}{d x} \sqrt{x}$ :
  1. Apply the power rule: $\sqrt{x}$ goes to $\frac{1}{2 \sqrt{x}}$
  The result of the chain rule is:
  
  $1$
The result is: $1$

The answer is:

$1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

x
-
x

$$\frac{x}{x}$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=sqrt1+sqrtx^2