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
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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)