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} } $

7
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.

443
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 572 views
- $2.00
Related Questions
- Integrate $\int \frac{1}{x^2+x+1}dx$
- Convergence of $\int_{1}^{\infty} e^{\sin(x)}\cdot\frac{\sin(x)}{x^2} $
- Calculus and Vector
- Help formulating sine function
- < Derivative of a periodic function.
- Determine where the following function is discontinuous
- Find the arc length of $f(x)=x^{\frac{3}{2}}$ from $x=0$ to $x=1$.
- Find the volume of the solid obtained by rotating $y=x^2$ about y-axis, between $x=1$ and $x=2$, using the shell method.
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)