# Create a function whose derivate is:

Calculation of $sinh(ln(x+\sqrt{x^2+1}) $ => $x = 0$

Derivate of $ ln(x+\sqrt{x^2+1})$ => $\tfrac{1}{\sqrt{x^2+1} } $

arcsin^-1(x) = $\tfrac{1}{\sqrt{x^2 +1 } } $

Use the previous information:

Let F be a continuously differentiable function everywhere, and let F be its derivative. Determine a function whose derivative is

a)

$\tfrac{F'(x)}{\sqrt{1+F(x)^2} } $

b)

$\tfrac{F'(2x+3)}{\sqrt{1+F(2x+3)^2} } $

Derivate of $ ln(x+\sqrt{x^2+1})$ => $\tfrac{1}{\sqrt{x^2+1} } $

arcsin^-1(x) = $\tfrac{1}{\sqrt{x^2 +1 } } $

Use the previous information:

Let F be a continuously differentiable function everywhere, and let F be its derivative. Determine a function whose derivative is

a)

$\tfrac{F'(x)}{\sqrt{1+F(x)^2} } $

b)

$\tfrac{F'(2x+3)}{\sqrt{1+F(2x+3)^2} } $

Alpo

7

## Answer

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Daniel90

436

The answer is accepted.

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The bounty is too low for a question with 4 parts.

well I can provide you the first 2 parts bc they are easy :D. I am stuck in the a)